A numerical solution of the coupled sine-Gordon equation using the modified decomposition method

被引:64
作者
Ray, S. Saha [1 ]
机构
[1] BP Poddar Inst Management & Technol, Kolkata 700052, W Bengal, India
关键词
adomian decomposition method; the modified decomposition method; coupled sine-Gordon equation;
D O I
10.1016/j.amc.2005.08.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The modified decomposition method has been implemented for solving a coupled sine-Gordon equation. We consider a system of coupled sine-Gordon equation, which models one-dimensional nonlinear wave processes in two-component media. By using an initial value system, the numerical solutions of coupled sine-Gordon equation have been represented graphically. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:1046 / 1054
页数:9
相关论文
共 32 条
[11]   SOLUTION OF NONINTEGER ORDER DIFFERENTIAL-EQUATIONS VIA THE ADOMIAN DECOMPOSITION METHOD [J].
ARORA, HL ;
ABDELWAHID, FI .
APPLIED MATHEMATICS LETTERS, 1993, 6 (01) :21-23
[12]   Nonlinear dynamics of the Frenkel-Kontorova model [J].
Braun, OM ;
Kivshar, YS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 306 (1-2) :1-108
[13]   CONVERGENCE OF ADOMIAN METHOD [J].
CHERRUAULT, Y .
KYBERNETES, 1989, 18 (02) :31-38
[14]   THE ADOMIAN METHOD APPLIED TO SOME EXTRAORDINARY DIFFERENTIAL-EQUATIONS [J].
GEORGE, AJ ;
CHAKRABARTI, A .
APPLIED MATHEMATICS LETTERS, 1995, 8 (03) :91-97
[15]   New results of convergence of Adomian's method [J].
Himoun, N ;
Abbaoui, K ;
Cherruault, Y .
KYBERNETES, 1999, 28 (4-5) :423-429
[16]   A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation [J].
Kaya, D .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) :833-841
[17]   Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation [J].
Kaya, D .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) :69-78
[18]   An explicit and numerical solutions of some fifth-order KdV equation by decomposition method [J].
Kaya, D .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 144 (2-3) :353-363
[19]   A numerical solution of the sine-Gordon equation using the modified decomposition method [J].
Kaya, D .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) :309-317
[20]   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