Study of coupled nonlinear partial differential equations for finding exact analytical solutions

被引：24
|
作者：
Khan, Kamruzzaman [1 ]
Akbar, M. Ali [2 ]
Koppelaar, H. [3 ]
机构：
[1] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh
[2] Rajshahi Univ, Dept Appl Math, Rajshahi 6205, Bangladesh
[3] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, Delft, Netherlands
来源：
ROYAL SOCIETY OPEN SCIENCE | 2015年 / 2卷 / 07期
关键词：
enhanced (G '/G)-expansion method; Drinfel'd-Sokolov-Wilson equation; Painleve integrable Burgers equation; solitary wave; nonlinear partial differential equations; TRAVELING-WAVE SOLUTIONS; SIMPLEST EQUATION; EVOLUTION-EQUATIONS;
D O I：
10.1098/rsos.140406
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced (G'/G)-expansion method. The method is subsequently applied to find exact solutions of the Drinfel'd-Sokolov-Wilson (DSW) equation and the (2 + 1)-dimensional Painleve integrable Burgers (PIB) equation. The efficiency of this method for finding these exact solutions is demonstrated. The method is effective and applicable for many other NPDEs in mathematical physics.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] On Finding Exact Solutions to Coupled Systems of Partial Differential Equations by the NDM
    Rawashdeh, Mahmoud Saleh
    Maitama, Shehu
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (02): : 621 - 637
  • [2] Geometric approach for finding exact solutions to nonlinear partial differential equations
    Kong, DX
    Hu, HR
    PHYSICS LETTERS A, 1998, 246 (1-2) : 105 - 112
  • [3] EXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
    Abraham-Shrauner, Barbara
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (04): : 577 - 582
  • [4] EXACT ANALYTICAL SOLUTIONS FOR NONLINEAR SYSTEMS OF CONFORMABLE PARTIAL DIFFERENTIAL EQUATIONS VIA AN ANALYTICAL APPROACH
    Thabet, Hayman
    Kendre, Subhash
    Baleanu, Dumitru
    Peters, James
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2022, 84 (01): : 109 - 120
  • [5] EXACT ANALYTICAL SOLUTIONS FOR NONLINEAR SYSTEMS OF CONFORMABLE PARTIAL DIFFERENTIAL EQUATIONS VIA AN ANALYTICAL APPROACH
    Thabet, Hayman
    Kendre, Subhash
    Baleanu, Dumitru
    Peters, James
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, 84 (01): : 109 - 120
  • [6] A new method for finding exact traveling wave solutions to nonlinear partial differential equations
    Hu, JL
    Zhang, HL
    PHYSICS LETTERS A, 2001, 286 (2-3) : 175 - 179
  • [7] Exact solutions for some nonlinear partial differential equations
    Peng, YZ
    PHYSICS LETTERS A, 2003, 314 (5-6) : 401 - 408
  • [8] Exact solutions of some nonlinear partial differential equations
    Inan, Ibrahim E.
    Kaya, Dogan
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 (104-115) : 104 - 115
  • [9] Exact solutions for nonlinear partial fractional differential equations
    Khaled A.Gepreel
    Saleh Omran
    Chinese Physics B, 2012, (11) : 34 - 40
  • [10] A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations
    Ji Juan-Juan
    Guo Ye-Cai
    Zhang Lan-Fang
    Zhang Chao-Long
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
12345