Exact solutions of the generalized (2+1)-dimensional nonlinear evolution equations via the modified simple equation method

被引：66
作者：
Al-Amr, Mohammed O. [1 ]
机构：
[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul 41002, Iraq
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2015年 / 69卷 / 05期
关键词：
Modified simple equation method; Nonlinear evolution equations; Exact solutions; Solitary wave solutions; KADOMTSEV-PETVIASHVILI EQUATION; CALOGERO-BOGOYAVLENSKII-SCHIFF; PARTIAL-DIFFERENTIAL-EQUATIONS; POWER-LAW NONLINEARITY; SOLITON-SOLUTIONS; WAVE-EQUATIONS; CONSERVATION-LAWS; PERTURBATION; KINKS;
D O I：
10.1016/j.camwa.2014.12.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the modified simple equation method (MSEM) is applied to construct exact solutions of the generalized (2 + 1)-dimensional nonlinear evolution equations (NLEEs) involving parameters via the (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation, the (2 + 1)-dimensional breaking soliton equation and the (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equation. The solitary wave solutions are derived from the exact solutions by assigning special values of the parameters. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：390 / 397
页数：8
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