Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations

被引：66
作者：
Al-Khaled, K
Momani, S
Alawneh, A
机构：
[1] Mutah Univ, Fac Sci, Dept Math, Mutah, Jordan
[2] Univ Jordan, Dept Math, Amman, Jordan
[3] United Arab Emirates Univ, Dept Math, Al Ain, U Arab Emirates
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 171卷 / 01期
关键词：
Benjamin-Bona-Mahony-Burgers equation; adomain decomposition method; soliton solutions;
D O I：
10.1016/j.amc.2005.01.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider solitary-wave solutions of generalized Benjamin-Bona-Mahony-Burgers Equations (shortly BBMB). The decomposition method is proposed for the numerical solution subject to appropriate initial condition. Soliton solutions are constructed to show the nature of the Solution. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The decomposition method performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：281 / 292
页数：12
相关论文
共 13 条
[1]   A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].
ADOMIAN, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :501-544
[2]  
Adomian G., 1994, SOLVING FRONTIER PRO
[3]   MODEL EQUATIONS FOR LONG WAVES IN NONLINEAR DISPERSIVE SYSTEMS [J].
BENJAMIN, TB ;
BONA, JL ;
MAHONY, JJ .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 272 (1220) :47-+
[4]   CONVERGENCE OF ADOMIAN METHOD [J].
CHERRUAULT, Y .
KYBERNETES, 1989, 18 (02) :31-38
[5]   DECOMPOSITION METHODS - A NEW PROOF OF CONVERGENCE [J].
CHERRUAULT, Y ;
ADOMIAN, G .
MATHEMATICAL AND COMPUTER MODELLING, 1993, 18 (12) :103-106
[6]   Numerical behaviour of stable and unstable solitary waves [J].
Durán, A ;
López-Marcos, MA .
APPLIED NUMERICAL MATHEMATICS, 2002, 42 (1-3) :95-116
[7]   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
[8]   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
[9]   Large-time behavior of solution for generalized Benjamin-Bona-Mahony-Burgers equations [J].
Mei, M .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (07) :699-714
[10]   CALCULATIONS OF DEVELOPMENT OF AN UNDULAR BORE [J].
PEREGRINE, DH .
JOURNAL OF FLUID MECHANICS, 1966, 25 :321-+
12