New exact travelling wave solutions of nonlinear Klein-Gordon equations

被引:16
作者
Jang, Bongsoo [1 ]
机构
[1] Kent State Univ, Dept Math Sci, Ashtabula, OH 44004 USA
关键词
F-EXPANSION METHOD; ELLIPTIC FUNCTION SOLUTIONS; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; TANH METHOD; SOLITONS; PDES;
D O I
10.1016/j.chaos.2008.02.037
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
New solutions of the auxiliary equation are presented. By using those solutions, many exact travelling wave solutions for the several nonlinear Klein-Gordon equations are explicitly obtained. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:646 / 654
页数:9
相关论文
共 21 条
[11]   SOLITARY WAVE SOLUTIONS FOR VARIANT BOUSSINESQ EQUATIONS [J].
WANG, ML .
PHYSICS LETTERS A, 1995, 199 (3-4) :169-172
[12]   Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics [J].
Wang, ML ;
Zhou, YB ;
Li, ZB .
PHYSICS LETTERS A, 1996, 216 (1-5) :67-75
[13]   Compactons, solitons and periodic solutions for some forms of nonlinear Klein-Gordon equations [J].
Wazwaz, AM .
CHAOS SOLITONS & FRACTALS, 2006, 28 (04) :1005-1013
[14]   Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations [J].
Wazwaz, AM .
CHAOS SOLITONS & FRACTALS, 2006, 28 (01) :127-135
[15]   The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation [J].
Wazwaz, AM .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 167 (02) :1179-1195
[16]   The tan h method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations [J].
Wazwaz, AM .
CHAOS SOLITONS & FRACTALS, 2005, 25 (01) :55-63
[17]   The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations [J].
Yu, YX ;
Wang, Q ;
Zhang, HQ .
CHAOS SOLITONS & FRACTALS, 2005, 26 (05) :1415-1421
[18]   New exact travelling wave solutions for some nonlinear evolution equations, Part II [J].
Zhang, Huiqun .
CHAOS SOLITONS & FRACTALS, 2008, 37 (05) :1328-1334
[19]   New exact Jacobi elliptic function solutions for some nonlinear evolution equations [J].
Zhang, Huiqun .
CHAOS SOLITONS & FRACTALS, 2007, 32 (02) :653-660
[20]   Periodic wave solutions to a coupled KdV equations with variable coefficients [J].
Zhou, YB ;
Wang, ML ;
Wang, YM .
PHYSICS LETTERS A, 2003, 308 (01) :31-36