Application of the (G′/G)-expansion method for the Zhiber-Shabat equation and other related equations

被引:26
作者
Borhanifar, A. [1 ]
Moghanlu, Ali Zamiri [1 ]
机构
[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran
关键词
(G '/G)-expansion method; Zhiber-Shabat equation; Liouville equation; Dodd-Bullough-Mikhailov (DBM) equation; Tzitzeica-Dodd-Bullough (TDB) equation; Traveling wave solutions; TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; EXTENDED TANH METHOD; EXP-FUNCTION METHOD; GORDON EQUATION;
D O I
10.1016/j.mcm.2011.05.020
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, the exact traveling wave solutions of the Zhiber-Shabat equation and the related equations: Liouville equation, Dodd-Bullough-Mikhailov (DBM) equation, sinh-Gordon equation, and Tzitzeica-Dodd-Bullough (TDB) equation are studied by using the (G'/G)-expansion method. Solitons and periodic solutions for these equations are formally derived. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2109 / 2116
页数:8
相关论文
共 40 条
  • [11] Borhanifar A., 2009, APPL MATH COMPUT, P1
  • [12] Qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation
    Chen, Aiyong
    Huang, Wentao
    Li, Jibin
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 559 - 569
  • [13] LINK BETWEEN SOLITARY WAVES AND PROJECTIVE RICCATI-EQUATIONS
    CONTE, R
    MUSETTE, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (21): : 5609 - 5623
  • [14] Exact travelling wave solutions of the discrete nonlinear Schrodinger equation and the hybrid lattice equation obtained via the exp-function method
    Dai, Chao-Qing
    Wang, Yue-Yue
    [J]. PHYSICA SCRIPTA, 2008, 78 (01)
  • [15] Extended tanh-function method and its applications to nonlinear equations
    Fan, EG
    [J]. PHYSICS LETTERS A, 2000, 277 (4-5) : 212 - 218
  • [16] Fu ZT, 2004, Z NATURFORSCH A, V59, P933
  • [17] Exp-function method for nonlinear wave equations
    He, Ji-Huan
    Wu, Xu-Hong
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (03) : 700 - 708
  • [18] Hirota R., 2004, The Direct Method in Soliton Theory
  • [19] Infeld E., 1990, Nonlinear Waves, Solitons Chaos
  • [20] New solitary wave solutions for generalized regularized long-wave equation
    Jafari, H.
    Borhanifar, A.
    Karimi, S. A.
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (03) : 509 - 514