Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method

被引：61
作者：
Ganji, Z. Z. [1 ]
Ganji, D. D. [1 ]
Bararnia, H. [1 ]
机构：
[1] Mazandaran Univ, Dept Mech Engn, Babol Sar, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 04期
关键词：
Exp-Function method; Benjamin-Bona-Mahony-Burgers equations (BBMB); Nonlinear equation; HOMOTOPY PERTURBATION METHOD; WAVE SOLUTIONS;
D O I：
10.1016/j.apm.2008.03.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, we implement a relatively new analytical technique, the Exp-Function method, for solving special form of generalized nonlinear Benjamin-Bona-Mahony-Burgers equation (BBMB) which may contain high nonlinear terms. This method can be used as an alternative to obtain analytic and approximate solutions of different types of fractional differential equations applied in engineering mathematics. Some numerical examples are presented to illustrate the efficiency and reliability of Exp-Function method. It is predicted that Exp-Function method can be found widely applicable in engineering. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：1836 / 1841
页数：6
相关论文
共 24 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]   Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations [J].
Al-Khaled, K ;
Momani, S ;
Alawneh, A .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (01) :281-292
[3]  
Burden R. L., 2011, Numerical Analysis, V9th
[4]   Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method [J].
Ganji, D. D. ;
Rafei, M. .
PHYSICS LETTERS A, 2006, 356 (02) :131-137
[5]   Assessment of homotopy-perturbation and perturbation methods in heat radiation equations [J].
Ganji, DD ;
Rajabi, A .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2006, 33 (03) :391-400
[6]  
GARDNER CS, 1967, PHYS REV LETT, V19, P1095, DOI DOI 10.1103/PHYSREVLETT.19.1095
[7]   Variational iteration method for autonomous ordinary differential systems [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123
[8]   Homotopy perturbation method: a new nonlinear analytical technique [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :73-79
[9]   Asymptotology by homotopy perturbation method [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (03) :591-596
[10]   Application of homotopy perturbation method to nonlinear wave equations [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :695-700
123