开云网页版登录入口-开云(中国)

Name：Dianchen Lu

Title：Professor, Doctoral Supervisor

Research Field & Interest：

Theory and Application of Nonlinear Dynamic System, Exact and Approximate

Solutions of Nonlinear Equations

Postgraduate Enrollment Specialty：

Mathematics, Control science and engineering

Telephone： 0511-88780738

E-mail：dclu@ujs.edu.cn

Address：

Jiangsu university, Xuefu road 301, Zhenjiang, 212013

Learning and working experience

● 1978/02－1982/01，Department of Mathematics, Jiangsu University，Undergraduate.
● 2004/09－2008/07，Department of Mathematics, Jiangsu University，Doctor.
● 1982/02－Now，Department of Mathematics, Faculty of Science, Jisngsu University，Professor, Doctoral Tutor.
● 2005/012－2006/02，Brandenburgische Technische Universität，Germany，Visiting scholar.
● 2007/06－2007/08，Brandenburgische Technische Universität，Germany，Visiting scholar.

Part-time Academic and Social Work

● 2011/10 - Now，Vice Chairman of Jiangsu Society for industrial and Applied Mathematics.
● 2011/09 - Now，Vice Chairman of Jiangsu Association for Mathematics Education in Higher Schools.

Teaching Courses

● Singular Perturbation Theory and Its Application (doctor)
● Higher Mathematics (Undergraduate)

Research projects

● National Natural Science Foundation Project: Computability and computational complexity in nondiscrete systems (61070231) .
● National Natural Science Foundation Project: The appropriateness of fluid mechanics equations and related problems (11271164) .
● High-level talent projects of "Six Talents Peaks" in Jiangsu Province: Stability analysis of novel soliton in optical fiber propagation (2009188).
● Jiangsu Natural Science Foundation Project: Study on spatiotemporal chaos of dissipated isolated waves in nonlinear systems (BK 97119),

Publications

1)Khater Mostafa M A; Lu Dianchen; Attia Raghda A M. Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method. AIP Advances, 9(2), pp 025003, 2019-2
2)Suleman Muhammad; *Ramzan Muhammad; Ahmad Shafiq; Lu Dianchen; Muhammad Taseer; Chung Jae Dong. A Numerical Simulation of Silver-Water Nanofluid Flow with Impacts of Newtonian Heating and Homogeneous-Heterogeneous Reactions Past a Nonlinear Stretched Cylinder. Symmetry-Basel, 11(2), pp 295, 2019-2
3)Ahmed Iftikhar; *Seadawyt Aly R; Lu Dianchen. Mixed lump-solitons, periodic lump and breather soliton solutions for (2+1)-dimensional extended Kadomtsev-Petviashvili dynamical equation. International Journal of Modern Physics B, 33(5), pp 1950019, 2019-2-20
4)Lu Dianchen; *Seadawy Aly; Yaro David. Analytical wave solutions for the nonlinear three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov and two-dimensional Kadomtsev-Petviashvili-Burgers equations. Results in Physics, 12, pp 2164-2168, 2019-3
5) Apeanti Wilson Osafo; *Seadawy Aly R; *Lu Dianchen. Complex optical solutions and modulation instability of hyperbolic Schrodinger dynamical equation. Results in Physics, 12, pp 2091-2097, 2019-3
6)Yaro David; *Seadawy Aly R; *Lu Dianchen; Apeanti Wilson Osafo; Akuamoah Saviour Worlanyo. Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation. Results in Physics, 12, pp 1971-1979, 2019-3
7)Ahmed Iftikhar; *Seadawy Aly R; Lu Dianchen. Kinky breathers, W-shaped and multi-peak solitons interaction in (2+1)-dimensional nonlinear Schrodinger equation with Kerr law of nonlinearity. European Physical Journal Plus, 134(3), pp 120, 2019-3
8)Cheng Yueling; Lu Dianchen. Wave propagation in a infectious disease model with non-local diffusion. Advances in Difference Equations, pp 109, 2019-3-15
9)Faroo Umer; *Lu DianChen; Ahmed Salim; Ramzan Muhammad; Chung Jae Dong; Chandio Farman Ali. Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles. Journal of Thermal Science and Engineering Applications, 11(2), pp 021013, 2019-4
10)Ahmed Iftikhar; *Seadawy Aly R; Lu Dianchen. M-shaped rational solitons and their interaction with kink waves in the Fokas-Lenells equation. Physica Scripta, 94(5), pp 055205, 2019-5
11)Ahmed Iftikhar; *Seadawy Aly R; Lu Dianchen. Combined multi-waves rational solutions for complex Ginzburg-Landau equation with Kerr law of nonlinearity. Modern Physics Letters A, 34(3), pp 1950019, 2019-1-30
12)Lu Dianchen; *Ramzan Muhammad; Ahmad Shafiq; Shafee Ahmad; Suleman Muhammad. Impact of Nonlinear Thermal Radiation and Entropy Optimization Coatings with Hybrid Nanoliquid Flow Past a Curved Stretched Surface. COATINGS, 8(12), pp 430, 2018-12
13)Suleman Muhammad; *Ramzan Muhammad; Zulfiqar Madiha; Bilal Muhammad; Shafee Ahmad; Chung Jae Dong; Lu Dianchen; Farooq Umer. Entropy Analysis of 3D Non-Newtonian MHD Nanofluid Flow with Nonlinear Thermal Radiation Past over Exponential Stretched Surface. Entropy, 20(12), pp 930, 2018-12
14)Arshad Muhammad; Lu Dianchen; Wang Jun; Abdullah. Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation. East Asian Journal on Applied Mathematics, 8(2), pp 211-223, 2018-5
15)Seadawy Aly R.; Lu Dian-Chen; Arshad Muhammad. Stability Analysis of Solitary Wave Solutions for Coupled and (2+1)-Dimensional Cubic Klein-Gordon Equations and Their Applications. Communications in Theoretical Physics, 69(6), pp 676-686, 2018-6
16)Hao Yong-Xia; Lu Dianchen. Sparse approximation of fitting surface by elastic net. Computational and Applied Mathematics, 37(3), pp 2784-2794, 2018-7
17)Suleman Muhammad; *Lu Dianchen; He Ji Huan; Farooq Umer; Hui Ye Sheng; Rahman Jamshaid Ul. NUMERICAL INVESTIGATION OF FRACTIONAL HIV MODEL USING ELZAKI PROJECTED DIFFERENTIAL TRANSFORM METHOD. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 26(5), pp 1850062, 2018-10
18) Lu Dian-Chen; *Ramzan M.; Bilal M.; Chung Jae Dong; Farooq Umer. A Numerical Investigation of 3D MHD Rotating Flow with Binary Chemical Reaction, Activation Energy and Non-Fourier Heat Flux. Communications in Theoretical Physics, 70(1), pp 89-96, 2018-7
19)Lu Dian-Chen; *Ramzan M.; Bilal M.; Chung Jae Dong; Farooq Umer. Upshot of Chemical Species and Nonlinear Thermal Radiation on Oldroyd-B Nanofluid Flow Past a Bi-directional Stretched Surface with Heat Generation/Absorption in a Porous Media. Communications in Theoretical Physics, 70(1), pp 71-80, 2018-7
20)Tala-Tebue E.; *Seadawy Aly R.; Kamdoum-Tamo P. H.; Lu Dianchen. Dispersive optical soliton solutions of the higher-order nonlinear Schrodinger dynamical equation via two different methods and its applications. European Physical Journal Plus, 133(7), pp 289, 2018-7-31
21)Lu Dianchen; *Ramzan M.; Bilal M.; Chung Jae Dong; Farooq Umer; Tahir Saad. On three-dimensional MHD Oldroyd-B fluid flow with nonlinear thermal radiation and homogeneous-heterogeneous reaction. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40(8), pp UNSP 387, 2018-8
22)Lu Dianchen; *Seadawy Aly R.; Khater Mostafa M. A. Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system. Advances in Difference Equations, pp 266, 2018-8-3
23)Lu Dianchen; *Ramzan M.; Ahmad Shafiq; Chung Jae Dong; Farooq Umer. A numerical treatment of MHD radiative flow of Micropolar nanofluid with homogeneous-heterogeneous reactions past a nonlinear stretched surface. Scientific Reports, 8, pp 12431, 2018-8-20
24)Seadawy Aly R.; *Lu Dianchen; Khater Mostafa M. A. Structure of optical soliton solutions for the generalized higher-order nonlinear Schrodinger equation with light-wave promulgation in an optical fiber. Optical and Quantum Electronics, 50(9), pp 333, 2018-9
25)Lu Dianchen; *Seadawy Aly R.; Arshad Muhammad. Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrodinger-KdV dynamical models. Results in Physics, 10, pp 995-1005, 2018-9
26)*Muhammad Taseer; *Lu Dian-Chen; Mahanthesh B.; Eid Mohamed R.; Ramzan Muhammad; Dar Amanullah. Significance of Darcy-Forchheimer Porous Medium in Nanofluid Through Carbon Nanotubes. Communications in Theoretical Physics, 70(3), pp 361-366, 2018-9
27)Farooq Umer; Afridi Muhammad Idrees; *Qasim Muhammad; *Lu D. C. Transpiration and Viscous Dissipation Effects on Entropy Generation in Hybrid Nanofluid Flow over a Nonlinear Radially Stretching Disk. Entropy, 20(9), pp 668, 2018-9
28)Ali Asghar; *Seadawy Aly R.; *Lu Dianchen. Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods. Advances in Difference Equations, pp 334, 2018-9-20
29)Iqbal Mujahid; *Seadawy Aly R.; Lu Dianchen. Construction of solitary wave solutions to the nonlinear modified Kortewege-de Vries dynamical equation in unmagnetized plasma via mathematical methods. Modern Physics Letters A, 33(32), pp 1850183, 2018-10-20
30)Seadawy Aly R.; Ali Asghar; *Lu Dianchen. Applications of modified mathematical method on some nonlinear water wave dynamical models. Modern Physics Letters A, 33(35), pp 1850204, 2018-11-20
31)Lu Dianchen; *Seadawy Aly R.; Iqbal Mujahid. Mathematical methods via construction of traveling and solitary wave solutions of three coupled system of nonlinear partial differential equations and their applications. Results in Physics, 11, pp 1161-1171, 2018-12
32)Farooq Javaria; Chung Jae Dong; Mushtaq Muhammad; *Lu Dianchen; *Ramazan Muhammad; Farooq Umer. Influence of slip velocity on the flow of viscous fluid through a porous medium in a permeable tube with a variable bulk flow rate. Results in Physics, 11, pp 861-868, 2018-12
33)Iqbal Mujahid; *Seadawy Aly R.; Lu Dianchen. Dispersive solitary wave solutions of nonlinear further modified Korteweg-de Vries dynamical equation in an unmagnetized dusty plasma. Modern Physics Letters A, 33(37), pp 1850217, 2018-12-7
34)Ali A.; Seadawy A.R.; *Lu D. New solitary wave solutions of some nonlinear models and their application. Advances in Difference Equations, 2018(1), pp 232, 2018-7-4
35)Lu; Dianchen; Suleman; Muhammad; He; Ji Huan; Farooq; Umer; Noeiaghdam; Samad; Chandio; Farman Ali. ELZAKI PROJECTED DIFFERENTIAL TRANSFORM METHOD FOR FRACTIONAL ORDER SYSTEM OF LINEAR AND NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATION. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 26(3), pp 1850041, 2018-6
36)Ali A.; *Seadawy A.R.; Lu D. Computational methods and traveling wave solutions for the fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation via two methods and its applications. Open Physics, 16(1), pp 219-226, 2018-1
37)Lu D.; *Seadawy A.R.; Ali A. Applications of exact traveling wave solutions of Modified Liouville and the Symmetric Regularized Long Wave equations via two new techniques. Results in Physics, 9, pp 1403-1410, 2018-6
38)Khater; Mostafa M. A.; Seadawy; Aly R.; Lu; Dianchen. Optical soliton and bright-dark solitary wave solutions of nonlinear complex Kundu-Eckhaus dynamical equation of the ultra-short femtosecond pulses in an optical fiber. Optical and Quantum Electronics, 50(3), pp 155, 2018-3
39)Khater; Mostafa M A; Seadawy; Aly R; Lu; Dianchen. New optical soliton solutions for nonlinear complex fractional Schrodinger equation via new auxiliary equation method and novel (G '/G)-expansion method. Pramana - Journal of Physics, 90(5), pp 59, 2018-5
40)Lu; Dianchen; Seadawy; Aly R.; Khater; Mostafa M.A. Dispersive optical soliton solutions of the generalized Radhakrishnan–Kundu–Lakshmanan dynamical equation with power law nonlinearity and its applications. Optik, 164, pp 54-64, 2018
41)Ali A.; Seadawy A.R.; Lu D. Dispersive solitary wave soliton solutions of (2 + 1)-dimensional Boussineq dynamical equation via extended simple equation method. Journal of King Saud University - Science, 2018
42)Arshad M.; *Seadawy A.R.; Lu D. Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrödinger equation and its applications in mono-mode optical fibers. Superlattices and Microstructures, 113, pp 419-429, 2018
43)Lu D.; *Seadawy A.R.; Arshad M. Bright–dark solitary wave and elliptic function solutions of unstable nonlinear Schrödinger equation and their applications. Optical and Quantum Electronics, 50(1), 2018
44)Arshad M.; *Seadawy A.R.; Lu D.; Jun W. Optical soliton solutions of unstable nonlinear Schröodinger dynamical equation and stability analysis with applications. Optik, 157, pp 597-605, 2018
45)Khater M.M.A.; Seadawy A.R.; *Lu D. New optical soliton solutions for nonlinear complex fractional Schrödinger equation via new auxiliary equation method and novel (G′/ G) -expansion method. Pramana - Journal of Physics, 90(5), 2018
46)Nasreen N.; *Lu D.; Arshad M. Optical soliton solutions of nonlinear Schrödinger equation with second order spatiotemporal dispersion and its modulation instability. Optik, 161, pp 221-229, 2018
47)Khater M.M.A.; *Seadawy A.R.; Lu D. Bifurcations of solitary wave solutions for (two and three)-dimensional nonlinear partial differential equation in quantum and magnetized plasma by using two different methods. Results in Physics, 9, pp 142-150, 2018
48)Lu D.; Seadawy A.R.; Ali A. Dispersive traveling wave solutions of the Equal-Width and Modified Equal-Width equations via mathematical methods and its applications. Results in Physics, 9, pp 313-320, 2018
49)Lu D.C.; *Farooq U.; Hayat T.; Rashidi M.M.; Ramzan M. Computational analysis of three layer fluid model including a nanomaterial layer. International Journal of Heat and Mass Transfer, 122, pp 222-228, 2018
50)Lu D.; *Seadawy A.R.; Khater M.M.A. Dispersive optical soliton solutions of the generalized Radhakrishnan–Kundu–Lakshmanan dynamical equation with power law nonlinearity and its applications. Optik, 164, pp 54-64, 2018
51)Nasreen; Naila; Lu; Dianchen; Arshad; Muhammad. Optical soliton solutions of nonlinear Schrodinger equation with second order spatiotemporal dispersion and its modulation instability. Optik, 161, pp 221-229, 2018
52)Khater; Mostafa M. A.; Seadawy; Aly R.; Lu; Dianchen. Optical soliton and bright–dark solitary wave solutions of nonlinear complex Kundu–Eckhaus dynamical equation of the ultra-short femtosecond pulses in an optical fiber. Optical and Quantum Electronics, 50(3), 2018
53)Khater; Mostafa M. A.; Seadawy; Aly R.; Lu; Dianchen. Solitary traveling wave solutions of pressure equation of bubbly liquids with examination for viscosity and heat transfer. Results in Physics, 8, pp 292-303, 2018
54)Cheng; Yueling; Lu; Dianchen; Wu; Yuhai; Zhou; Jiangbo; Wang; Linjun. Traveling Wave Solutions in Optical Metamaterials Equation. Qualitative Theory of Dynamical Systems, 17(1), pp 123-141, 2018
55)Yao, Olivia X. M.; Shao, Yu Shen; Lu, Dian Chen. Parity results for 9-core and self-conjugate 9-core partitions. Colloquium Mathematicum, 151(1), pp 27-36, 2018
56)Lu, Dianchen; *Seadawy, Aly R.; Arshad, M. Bright-dark solitary wave and elliptic function solutions of unstable nonlinear Schrodinger equation and their applications. Optical and Quantum Electronics, 50(1), 2018.1
57)Arshad, Muhammad; *Seadawy, Aly R.; *Lu, Dianchen; Jun, Wang. Optical soliton solutions of unstable nonlinear Schroodinger dynamical equation and stability analysis with applications. Optik, 157, pp 597-605, 2018
58)Arshad, Muhammad; *Seadawy, Aly R.; *Lu, Dianchen. Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrodinger equation and its applications in mono-mode optical fibers. Superlattices and Microstructures, 113, pp 419-429, 2018.1
59)Lu, Dianchen; *Ramzan, M.; ul Huda, Noor; Chung, Jae Dong; Farooq, Umer. Nonlinear radiation effect on MHD Carreau nanofluid flow over a radially stretching surface with zero mass flux at the surface. Scientific Reports, 8(1), 2018
60)Khater, Mostafa M.A.; *Seadawy, Aly R.; Lu, Dianchen. Optical soliton and rogue wave solutions of the ultra-short femto-second pulses in an optical fiber via two different methods and its applications. Optik, 158, pp 434-450, 2018
61)Arshad, Muhammad; *Seadawy, Aly R.; Lu, Dianchen. Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrödinger equation and its applications in mono-mode optical fibers. Superlattices and Microstructures, 113, pp 419-429, 2018
62)Khater, Mostafa M.A.; *Seadawy, Aly R.; Lu, Dianchen. Dispersive optical soliton solutions for higher order nonlinear Sasa-Satsuma equation in mono mode fibers via new auxiliary equation method. Superlattices and Microstructures, 113, pp 346-358, 2018
63)Arshad, Muhammad; *Seadawy, Aly R.; Lu, Dianchen; Jun, Wang. Optical soliton solutions of unstable nonlinear Schröodinger dynamical equation and stability analysis with applications. Optik, 157, pp 597-605, 2018
64)Lu, Dianchen; *Seadawy, Aly R.; Arshad, M. Bright–dark solitary wave and elliptic function solutions of unstable nonlinear Schrödinger equation and their applications. Optical and Quantum Electronics, 50(1), 2018
65)Nasreen, Naila; *Lu, Dianchen; Arshad, Muhammad. Optical soliton solutions of nonlinear Schrödinger equation with second order spatiotemporal dispersion and its modulation instability. Optik, 161, pp 221-229, 2018
66)Lu D.; *Seadawy A.R.; Arshad M.; Wang J. New solitary wave solutions of (3 + 1)-dimensional nonlinear extended Zakharov-Kuznetsov and modified KdV-Zakharov-Kuznetsov equations and their applications. Results in Physics, 7, pp 899-909, 2017
67)Khater M.M.A.; Seadawy A.R.; Lu D. Dispersive solitary wave solutions of new coupled Konno-Oono, Higgs field and Maccari equations and their applications. Journal of King Saud University - Science, 2017
68)Arshad M.; *Seadawy A.R.; Lu D. Exact bright–dark solitary wave solutions of the higher-order cubic–quintic nonlinear Schrödinger equation and its stability. Optik, 138, pp 40-49, 2017
69)Lu D.; *Seadawy A.; Arshad M. Applications of extended simple equation method on unstable nonlinear Schrödinger equations. Optik, 140, pp 136-144, 2017
70)Arshad M.; *Seadawy A.R.; Lu D. Elliptic function and solitary wave solutions of the higher-order nonlinear Schrödinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability. European Physical Journal Plus, 132(8), 2017
71)Ali A.; *Seadawy A.R.; Lu D. Soliton solutions of the nonlinear Schrödinger equation with the dual power law nonlinearity and resonant nonlinear Schrödinger equation and their modulation instability analysis. Optik, 145, pp 79-88, 2017
72)Khater M.M.A.; Lu D.; Zahran E.H.M. Solitary wave solutions of the Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. Applied Mathematics and Information Sciences, 11(5), pp 1347-1351, 2017
73)Arshad M.; *Seadawy A.R.; Lu D. Bright–dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics. Journal of Electromagnetic Waves and Applications, 31(16), pp 1711-1721, 2017
74)Seadawy A.R.; Lu D.; Khater M.M.A. New wave solutions for the fractional-order biological population model, time fractional burgers, Drinfel’d–Sokolov–Wilson and system of shallow water wave equations and their applications. European Journal of Computational Mechanics, 26(5-6), pp 508-524, 2017
75)Arshad M.; *Seadawy A.R.; Lu D. Modulation stability and optical soliton solutions of nonlinear Schrödinger equation with higher order dispersion and nonlinear terms and its applications. Superlattices and Microstructures, 112, pp 422-434, 2017
76)Arshad M.; *Seadawy A.R.; Lu D. Optical soliton solutions of the generalized higher-order nonlinear Schrödinger equations and their applications. Optical and Quantum Electronics, 49(12), 2017
77)Ali, Asghar; *Seadawy, Aly R.; Lu, Dianchen. Soliton solutions of the nonlinear Schrodinger equation with the dual power law nonlinearity and resonant nonlinear Schrodinger equation and their modulation instability analysis. Optik, 145, pp 79-88, 2017
78)Arshad, Muhammad; *Seadawy, Aly R.; *Lu, Dianchen; Jun, Wang. Modulation instability analysis of modify unstable nonlinear schrodinger dynamical equation and its optical soliton solutions. Results in Physics, 7, pp 4153-4161, 2017
79)Khater, Mostafa M. A.; *Seadawy, Aly R.; Lu, Dianchen. Elliptic and solitary wave solutions for Bogoyavlenskii equations system, couple Boiti-Leon-Pempinelli equations system and Time-fractional Cahn-Allen equation. Results in Physics, 7, pp 2325-2333, 2017
80)Lu, Dianchen; *Seadawy, Aly R.; *Khater, Mostafa M. A. Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods. Results in Physics, 7, pp 2028-2035, 2017
81)Lu, Dianchen; *Seadawy, A. R.; Arshad, M.; Wang, Jun. New solitary wave solutions of (3+1). Results in Physics, 7, pp 899-909, 2017
82)Seadawy, Aly R.; *Lu, Dianchen. Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrodinger equation and its stability. Results in Physics, 7, pp 43-48, 2017
83)Arshad, M.; *Seadawy, A. R.; Lu, Dianchen; Wang, Jun. Travelling wave solutions of Drinfel'd–Sokolov–Wilson, Whitham–Broer–Kaup and (2+1)-dimensional Broer–Kaup–Kupershmit equations and their applications. Chinese Journal of Physics, 55(3), pp 780-797, 2017
84)Seadawy, Aly R.; Lu, Dianchen; *Khater, Mostafa M. A. Bifurcations of traveling wave solutions for Dodd-Bullough-Mikhailov equation and coupled Higgs equation and their applications. Chinese Journal of Physics, 55(4), pp 1310-1318, 2017.8
85)Arshad, M.; *Seadawy, Aly R.; *Lu, Dianchen. Elliptic function and solitary wave solutions of the higher-order nonlinear Schrodinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability. European Physical Journal Plus, 132(8), 2017.8.30
86)Ramzan, M.; Ullah, Naeem; Chung, Jae Dong; Lu, Dianchen; Farooq, Umer. Buoyancy effects on the radiative magneto Micropolar nanofluid flow with double stratification, activation energy and binary chemical reaction. Scientific Reports, 7, 2017.10.10
87)Arshad, M.; *Seadawy, Aly R.; *Lu, Dianchen. Optical soliton solutions of the generalized higher-order nonlinear Schrodinger equations and their applications. Optical and Quantum Electronics, 49(12), 2017.12
88)Arshad, Muhammad; *Seadawy, Aly R.; *Lu, Dianchen. Modulation stability and optical soliton solutions of nonlinear Schrodinger equation with higher order dispersion and nonlinear terms and its applications. Superlattices and Microstructures, 112, pp 422-434, 2017.12
89)Lu, Dianchen; *Ramzan, M.; Ullah, Naeem; Chung, Jae Dong; Farooq, Umer. A numerical treatment of radiative nanofluid 3D flow containing gyrotactic microorganism with anisotropic slip, binary chemical reaction and activation energy. Scientific Reports, 7(1), 2017
90)Arshad, M.; *Seadawy, Aly R.; Lu, Dianchen. Optical soliton solutions of the generalized higher-order nonlinear Schrödinger equations and their applications. Optical and Quantum Electronics, 49(12), 2017
91)Seadawy, Aly R.; Lu, Dianchen; Khater, Mostafa M. A. New wave solutions for the fractional-order biological population model, time fractional burgers, Drinfel’d–Sokolov–Wilson and system of shallow water wave equations and their applications. European Journal of Computational Mechanics, 26(5-6), pp 508-524, 2017
92)Ali, Asghar; *Seadawy, Aly R.; Lu, Dianchen. Soliton solutions of the nonlinear Schrödinger equation with the dual power law nonlinearity and resonant nonlinear Schrödinger equation and their modulation instability analysis. Optik, 145, pp 79-88, 2017
93)Seadawy, Aly R.; Lu, Dianchen; Khater, Mostafa M.A. Bifurcations of solitary wave solutions for the three dimensional Zakharov–Kuznetsov–Burgers equation and Boussinesq equation with dual dispersion. Optik, 143, pp 104-114, 2017
94)Arshad, M.; *Seadawy, Aly R.; Lu, Dianchen. Exact bright–dark solitary wave solutions of the higher-order cubic–quintic nonlinear Schrödinger equation and its stability. Optik, 138, pp 40-49, 2017
95)Arshad, Muhammad; *Seadawy, Aly R.; Lu, Dianchen. Modulation stability and optical soliton solutions of nonlinear Schrödinger equation with higher order dispersion and nonlinear terms and its applications. Superlattices and Microstructures, 112, pp 422-434, 2017
96)Ramzan, M.; Bilal, M.; Chung, Jae Dong; Lu, Dian Chen; Farooq, Umer. Impact of generalized Fourier's and Fick's laws on MHD 3D second grade nanofluid flow with variable thermal conductivity and convective heat and mass conditions. Physics of Fluids, 29(9), 2017.9
97)Arshad, Muhammad; *Seadawy, Aly R.; Lu, Dianchen. Bright–dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics. Journal of Electromagnetic Waves and Applications, 31(16), pp 1711-1721, 2017
98)Lu, Dianchen; *Ramzan, M.; Ahmad, Shafiq; Chung, Jae Dong; Farooq, Umer. Upshot of binary chemical reaction and activation energy on carbon nanotubes with Cattaneo-Christov heat flux and buoyancy effects. Physics of Fluids, 29(12), 2017
99)Lu, Dianchen; *Seadawy, Aly; Arshad, M. Applications of extended simple equation method on unstable nonlinear Schrödinger equations. Optik, 140, pp 136-144, 2017
100)Ali, Asghar; *Seadawy, Aly R.; Lu, Dianchen. Soliton solutions of the nonlinear Schrodinger equation with the dual power law nonlinearity and resonant nonlinear Schrodinger equation and their modulation instability analysis. Optik, 145, pp 79-88, 2017
101)Ramzan, M.; Bilal, M.; Chung, Jae Dong; Lu, Dian Chen; Farooq, Umer. Impact of generalized Fourier's and Fick's laws on MHD 3D second grade nanofluid flow with variable thermal conductivity and convective heat and mass conditions. Physics of Fluids, 29(9), 2017
102)Ramzan, M.; Ullah, Naeem; Chung, Jae Dong; Lu, Dianchen; Farooq, Umer. Buoyancy effects on the radiative magneto Micropolar nanofluid flow with double stratification, activation energy and binary chemical reaction. Scientific Reports, 7(1), 2017
103)Arshad, Muhammad; *Seadawy, Aly R.; Lu, Dianchen. Bright-dark solitary wave solutions of generalized higher-order nonlinear Schrodinger equation and its applications in optics. Journal of Electromagnetic Waves and Applications, 31(16), pp 1711-1721, 2017
104)Arshad, M.; *Seadawy, Aly R.; *Lu, Dianchen. Elliptic function and solitary wave solutions of the higher-order nonlinear Schrodinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability. European Physical Journal Plus, 132(8), 2017.8.30
105)Rashid, Abdur; Lu, Dianchen; Ismail, Ahmad Izani Md.; Abbas, Muhammad. Numerical solution of the generalized Hirota-Satsuma coupled Korteweg-de Vries equation by fourier pseudospectral method. Journal of Computational Analysis and Applications, 23(8), pp 1412-1423, 2017
106)Seadawy, Aly R.; Lu, Dianchen; *Khater, Mostafa M. A. Bifurcations of traveling wave solutions for Dodd–Bullough–Mikhailov equation and coupled Higgs equation and their applications. Chinese Journal of Physics, 55(4), pp 1310-1318, 2017
107)Arshad, M.; *Seadawy, A. R.; Lu, Dianchen; Wang, Jun. Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and (2+1)-dimensional Broer-Kaup-Kupershmit equations and their applications. CHINESE JOURNAL OF PHYSICS, 55(3), pp 780-797, 2017.6
108)Seadawy, Aly R.; Lu, Dianchen; Khater, Mostafa M. A. Bifurcations of solitary wave solutions for the three dimensional Zakharov–Kuznetsov–Burgers equation and Boussinesq equation with dual dispersion. Optik, 143, pp 104-114, 2017
109)Lu, Dianchen; *Yue, Chen; Arshad, Muhammad. Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation. Advances in Mathematical Physics, 2017, 2017
110)Arshad, M.; *Seadawy, Aly R.; Lu, Dianchen. Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrodinger equation and its stability. Optik, 138, pp 40-49, 2017
111)Lu, Dianchen; *Seadawy, Aly; Arshad, M. Applications of extended simple equation method on unstable nonlinear Schrodinger equations. Optik, 140, pp 136-144, 2017
112)Seadawy, Aly R.; Arshad, M.; Lu, Dianchen. Stability analysis of new exact traveling-wave solutions of new coupled KdV and new coupled Zakharov-Kuznetsov systems. European Physical Journal Plus, 132(4), 2017
113)Hao, Yong-Xia; Lu, Dianchen. Scattered data fitting by minimal surface. Journal of Inverse and Ill-Posed Problems, 25(3), pp 331-340, 2017
114)Arshad, Muhammad; Lu, Dianchen; *Wang, Jun. (N+1)-dimensional fractional reduced differential transform method for fractional order partial differential equations. Communications in Nonlinear Science and Numerical Simulation, 48, pp 509-519, 2017
115)Rashid, Abdur; Lu, Dianchen; Ismail, Ahmad Izani Md.; Abbas, Muhammad. Numerical solution of the generalized Hirota-Satsuma coupled Korteweg-de Vries equation by Fourier Pseudospectral method. Journal of Computational Analysis and Applications, 23(8), pp 1412-1423, 2017.12
116)Aly R. Seadawy; Dianchen Lu. Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability. Results in Physics, 7, pp 43-48, 2017
117)Arshad, M.; *Seadawy, Aly; Lu, Dianchen; Wang, Jun. Travelling wave solutions of generalized coupled Zakharov-Kuznetsov and dispersive long wave equations. Results in Physics, 6, pp 1136-1145, 2016
118)Yue, Chen; *Seadawy, Aly; Lu, Dianchen. Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrodinger equation. Results in Physics, 6, pp 911-916, 2016
119)Seadawy, Aly R.; Lu, Dianchen. Ion acoustic solitary wave solutions of three-dimensional nonlinear extended Zakharov-Kuznetsov dynamical equation in a magnetized two-ion-temperature dusty plasma. Results in Physics, 6, pp 590-593, 2016
120)M. Arshad; Aly Seadawy; Dianchen Lu; Jun Wang. Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations. Results in Physics, 6, pp 1136-1145, 2016
121)Aly R. Seadawy; Dianchen Lu.Travelling wave solutions of the generalized nonlinear fifth-order KdV water wave equations and its stability. Journal of Taibah University for Science, 2016.7.22
122)Hong, Baojian; Lu, Dianchen. New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation. Mathematical and Computational Applications, 21(2), 2016
123)Lu, Dianhen; Shen, Jie; Cheng, Yueling. The approximate solutions of nonlinear Boussinesq equation. 4th International Conference on Science and Engineering in Mathematics, Chemistry and Physics 2016, ScieTech 2016, 2016.1.30-2016.1.31, 2016
124)Hong B.; Lu D.; Liu Y. Homotopic approximate solutions for the general perturbed nonlinear Schrödinger equation. Mathematical and Computational Applications, 20(1), pp 50-61, 2015
125)Lu D.; Cui X.; Hong B. The homotopic mapping solutions for the generalized Schrödinger equation. 3rd International Conference on Science and Engineering in Mathematics, Chemistry and Physics, ScieTech 2015, 2015.1.31-2015.2.1, 2015
126)Hong, Baojian; Lu, Dianchen; Liu, Yangzheng. Homotopic approximate solutions for the general perturbed nonlinear Schrödinger equation. Mathematical and Computational Applications, 20(1), pp 50-61, 2015
127)Lu, Dian-Chen; He, Qin. Turing Computability of the Solution Operator of Nonlinear Pseudo-parabolic Equation. International Conference on Software Engineering and Information System (SEIS), 2015-2015.12.13, pp 8-13, Changsha, PEOPLES R CHINA, 2015
128)Lu, Dianchen; Chen, Chenxia. Computable analysis of a boundary-value problem for the generalized KdV-Burgers equation. Mathematical Methods in the Applied Sciences, 38(11), pp 2243-2249, 2015
129)Lu, Dianhen; Cui, Xinyu; Hong, Baojian. The homotopic mapping solutions for the generalized Schrödinger equation. 3rd International Conference on Science and Engineering in Mathematics, Chemistry and Physics, ScieTech 2015, 2015.1.31-2015.2.1, 2015
130)Hong, Baojian; Lu, Dianchen; Liu, Yangzheng. Homotopic approximate solutions for the general perturbed nonlinear Schrödinger equation. Mathematical and Computational Applications, 20(1), pp 50-61, 2015
131)Wang, Jun; Lu, Dianchen; Xu, Junxiang; Zhang, Fubao. Multiple positive solutions for semilinear Schrodinger equations with critical growth in R-N. Journal of Mathematical Physics, 56(4), 2015.4
132)Lu, Dianchen; Fu, Liming. Turing-Computability of Solution of Hirota Equation. International Conference on Computer Science and Electronic Technology (ICCSET), 2014.12.27-2014.12.28, pp 347-351, ShenZhen, PEOPLES R CHINA, 2015
133)Lu, Dianchen; Chen, Qiaoqiao. Turing computability of the Solution Operator of a higher order modified Camassa-Holm equation. International Conference on Computer Science and Electronic Technology (ICCSET), 2014.12.27-2014.12.28, pp 374-378, ShenZhen, PEOPLES R CHINA, 2015
134)Lu, Dianchen; Chen, Tingting; Hong, Baojian. Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients. The Scientific World Journal, 2014
135)Hong, Baojian; Lu, Dianchen. Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrodinger Equation. The Scientific World Journal, 2014
136)Hong, Baojian; Lu, Dianchen. Approximate solutions of general perturbed kdv-burgers equations. Electronic Journal of Differential Equations, 2014.9.18
137)Lu, Dianchen; Song, Shaojian.Turing computability of the solution operator of the Cauchy problem for 7-order dispersion equation. Journal of Information and Computational Science, 11(4), pp 1193-1199, 2014
138)Hong, Baojian; Lu, Dianchen. Homotopic approximate solutions for the general perturbed burgers-BBM equation. Journal of Information and Computational Science, 11(11), pp 4003-4011, 2014
139)Hong, Baojian; Lu, Dianchen; Khalique, Chaudry Masood; Salas, Alvaro H.; Van Gorder, Robert A. Exact and Approximate Solutions for Nonlinear PDEs. Abstract and Applied Analysis, 2014
140)Hong, Baojian; Lu, Dianchen. Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrodinger Equation. The Scientific World Journal, 2014
141)Lu, Dianchen; Liu, Jie. Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation. Abstract and Applied Analysis, 2014
142)Baojian Hong and Dianchen Lu. Homotopic approximate solutions for a class of generalized perturbed Kdv-Burgers equation. Acta Physica Sinica, vol. 62, no. 17, 2013.
143)Baojian Hong, Dianchen Lu. New exact Jacobi elliptic function solutions for the coupled Schrödinger-Boussinesq equations. Journal of Applied Mathematics, vol. 2013, 2013.
144)Baojian Hong, Dianchen Lu. New exact solutions for the generalized variable-coefficient Gardner equation with forcing term. Applied Mathematics and Computation, vol. 219, no. 5, pp. 2732–2738, 2012.
145)Baojian Hong and Dianchen Lu. New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients. Mathematical and Computer Modelling, 2012, 55(3-4): 1594-1600.
146)Dianchen Lu, Baojian Hong and Lixin Tian. New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(1): 77-84.
147)Dianchen Lu, Baojian Hong and Lixin Tian. New explicit exact solutions for the generalized coupled Hirota–Satsuma KdV system. Computers & Mathematics with Applications, 2007, 53(8):1181-1190.
148)Dianchen Lu, Baojian Hong and Lixin Tian. Explicit and exact solutions to the variable coefficient combined KdV equation with forced term. Acta Physica Sinica, 2006, 55(11): 5617-5622.
149)Dianchen Lu, Jianjun Gu and Xiaoming wang. Optimal harvesting problems for an age-dependent n-dimensional food chain model with diffusion. Applied Mathematics and Computation, 2007,184(2) : 659-668.
150)Junxia Wang, Dianchen Lu and Lixin Tian. Global synchronization for time-delay of WINDMI System. Chaos, Solitons & Fractals, 2006, 30(3): 629-635.
151)Xizhong Zheng, Dianchen Lu and Kejin Bao. Divergence bounded computable real numbers. Theoretical Computer Science, 2006,351(1):27-38.