Exact travelling wave solutions for a class of nonlinear partial differential equations

被引：37
|
作者：
Xie, FD [1 ]
Gao, XS
机构：
[1] Liaoning Normal Univ, Dept Comp Sci, Dalian 116029, Liaoning, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2004年 / 19卷 / 05期
关键词：
D O I：
10.1016/S0960-0779(03)00298-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the tanh-method is improved by means of a proper rational transformation based upon a coupled projective Riccati equations. The ansatz can be applied to find more and new exact solutions of the partial differential equations with the aid of symbolic computation system, Maple. We choose an example, which includes phi(4) equation, Klein-Gordon equation, Dulling equation, Landau-Ginburg-Higgs equation and Sine-Gordon equation, to illustrate the method. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1113 / 1117
页数：5
相关论文
共 50 条
  • [1] Exact travelling wave solutions of nonlinear partial differential equations
    Soliman, A. A.
    Abdou, M. A.
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (02) : 808 - 815
  • [2] The new travelling wave solutions for a class of nonlinear partial differential equations
    Ma, Zhimin
    Sun, Yuhui
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 43 (13): : 459 - 469
  • [3] Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
    Kim, Hyunsoo
    Bae, Jae-Hyeong
    Sakthivel, Rathinasamy
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2014, 69 (3-4): : 155 - 162
  • [4] Exact travelling wave solutions for some complex nonlinear partial differential equations
    Taghizadeh, N.
    Mirzazadeh, M.
    Eslami, M.
    Moradi, M.
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2014, 2 (01): : 11 - 18
  • [5] Exact Traveling Wave Solutions and Simulation For A Class Nonlinear Partial Differential Equations
    Ran, Yan Ping
    [J]. PROCEEDINGS OF THE 2015 INTERNATIONAL SYMPOSIUM ON COMPUTERS & INFORMATICS, 2015, 13 : 2605 - 2611
  • [6] EXACT TRAVELLING WAVE SOLUTIONS AND THEIR DYNAMICAL BEHAVIOR FOR A CLASS COUPLED NONLINEAR WAVE EQUATIONS
    Li, Jibin
    Chen, Fengjuan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (01): : 163 - 172
  • [7] New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations
    Tie-cheng Xia
    Hong-qing Zhang
    Zhen-ya Yan
    [J]. Applied Mathematics and Mechanics, 2001, 22 : 788 - 793
  • [8] NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS
    夏铁成
    张鸿庆
    闫振亚
    [J]. Applied Mathematics and Mechanics(English Edition), 2001, (07) : 788 - 793
  • [9] New explicit and exact travelling wave solutions for a class of nonlinear evolution equations
    Xia Tie-cheng
    Zhang Hong-qing
    Yan Zhen-ya
    [J]. Applied Mathematics and Mechanics, 2001, 22 (7): : 788 - 793
  • [10] New explicit and exact travelling wave solutions for a class of nonlinear evolution equations
    Xia, TC
    Zhang, HQ
    Yan, ZY
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (07) : 788 - 793
12345