Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of (2+1)-dimensional Konopelchenko-Dubrovsky equations

被引：20
作者：
Zhang, Sheng [1 ]
机构：
[1] Bohai Univ, Dept Math, Jinzhou 121000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 05期
关键词：
Exp-function method; Riccati equation; Generalized solitary wave solutions; Nonlinear evolution equations; VARIATIONAL ITERATION METHOD; NONLINEAR EVOLUTION-EQUATIONS; HOMOTOPY PERTURBATION METHOD; PERIODIC-WAVE SOLUTIONS; ELLIPTIC FUNCTION EXPANSION; SYMBOLIC COMPUTATION; KDV EQUATION; FAMILIES;
D O I：
10.1016/j.amc.2010.03.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, new exact solutions with two arbitrary functions of the (2 + 1)-dimensional Konopelchenko-Dubrovsky equations are obtained by means of the Riccati equation and its generalized solitary wave solutions constructed by the Exp-function method. It is shown that the Exp-function method provides us with a straightforward and important mathematical tool for solving nonlinear evolution equations in mathematical physics. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：1546 / 1552
页数：7
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