Exact solutions for coupled KdV equation and KdV equations

被引:17
作者
Inan, Ibrahim E. [1 ]
机构
[1] Firat Univ, Fac Educ, TR-23119 Elazig, Turkey
关键词
KdV equation; coupled KdV equations; generalized tanh function method; traveling wave solutions;
D O I
10.1016/j.physleta.2007.06.009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We implemented a generalized tanh function method for approximating the solution of the coupled KdV equation and KdV equation. By using this scheme, we found some exact solutions of the coupled KdV equation. For the further investigation of the method, some exact solutions of the KdV equations have also obtained. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:90 / 95
页数:6
相关论文
共 24 条
[1]   New multiple soliton-like solutions to the generalized (2+1)-dimensional KP equation [J].
Chen, HT ;
Zhang, HQ .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) :765-773
[2]   New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation [J].
Chen, HT ;
Zhang, HQ .
CHAOS SOLITONS & FRACTALS, 2004, 19 (01) :71-76
[3]  
DEBTNATH L, 1997, NONLINEAR PARTIAL DI
[4]  
DUFFY BR, 1996, PHYS LETT A, V214, P171
[5]   Modified extended tanh-function method for solving nonlinear partial differential equations [J].
Elwakil, SA ;
El-labany, SK ;
Zahran, MA ;
Sabry, R .
PHYSICS LETTERS A, 2002, 299 (2-3) :179-188
[6]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[7]   EXACT SOLITARY WAVE SOLUTIONS OF NONLINEAR EVOLUTION AND WAVE-EQUATIONS USING A DIRECT ALGEBRAIC-METHOD [J].
HEREMAN, W ;
BANERJEE, PP ;
KORPEL, A ;
ASSANTO, G ;
VANIMMERZEELE, A ;
MEERPOEL, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :607-628
[9]   Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation [J].
Kaya, D ;
Inan, IE .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (03) :775-787
[10]   An application of the decomposition method for the generalized KdV and RLW equations [J].
Kaya, D ;
El-Sayed, SM .
CHAOS SOLITONS & FRACTALS, 2003, 17 (05) :869-877