Construct solitary solutions of discrete hybrid equation by Adomian Decomposition Method

被引：6

作者：

Wang, Zhen ^{[1
]}

Zhang, Hongqing ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116085, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 02期

关键词：

DIFFERENTIAL-DIFFERENCE EQUATIONS; LATTICE; SYMMETRIES;

D O I：

10.1016/j.chaos.2007.08.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the Adomian Decomposition Method to solving the differential-difference equations. A typical example is applied to illustrate the validity and the great potential of the Adomian Decomposition Method in solving differential-difference equation. Kink shaped solitary solution and Bell shaped solitary solution are presented. Comparisons are made between the results of the proposed method and exact solutions. The results show that the Adomian Decomposition Method is an attractive method in solving the differential-difference equations. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：676 / 683

页数：8

共 50 条

[1] Solitary wave solutions for the general KDV equation by Adomian decomposition method
Ismail, HNA
Raslan, KR
Salem, GSE
APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (01) : 17 - 29
[2] Solitary Wave Solutions of Discrete Complex Ginzburg-Landau Equation by Modified Adomian Decomposition Method
WANG Yue-Yue
Communications in Theoretical Physics, 2009, 51 (01) : 81 - 89
[3] Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
Wazwaz, AM
CHAOS SOLITONS & FRACTALS, 2001, 12 (12) : 2283 - 2293
[4] Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method
Wang, Yue-yue
Dai, Chao-qing
Wu, Lei
Zhang, Jie-fang
CHAOS SOLITONS & FRACTALS, 2007, 32 (03) : 1208 - 1214
[5] Solitary Wave Solutions of Discrete Complex Ginzburg-Landau Equation by Modified Adomian Decompostion Method
Wang Yue-Yue
Dai Chao-Qing
Zhang Jie-Fang
COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 51 (01) : 81 - 89
[6] Adomian decomposition method and exact solutions of the perturbed KdV equation
Wu, B
Lou, SY
COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 38 (06) : 649 - 652
[7] Exact Solutions of Homogeneous Partial Differential Equation by A New Adomian Decomposition Method
Zhang, Bingquan
Lu, Jun
2011 2ND INTERNATIONAL CONFERENCE ON CHALLENGES IN ENVIRONMENTAL SCIENCE AND COMPUTER ENGINEERING (CESCE 2011), VOL 11, PT A, 2011, 11 : 440 - 446
[8] Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
Wang, Qi
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) : 1048 - 1055
[9] Adomian Decomposition Method for Approximating the Solutions of the Bidirectional Sawada-Kotera Equation
Lai, Xian-Jing
Cai, Xiao-Ou
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (8-9): : 658 - 664
[10] Adomian Decomposition Method for the solitary wave solution to the modified Korteweg-de Vries equation
Chimchinda, Songvudhi
Phibanchon, Sarun
XXX IUPAP CONFERENCE ON COMPUTATIONAL PHYSICS, 2019, 1290

← 1 2 3 4 5 →