Analytic solutions of the (2+1)-dimensional nonlinear evolution equations using the sine-cosine method

被引：55

作者：

Tascan, Filiz ^{[2
]}

Bekir, Ahmet ^{[1
]}

机构：

[1] Dumlupinar Univ, Art Sci Fac, Dept Math, Kutahya, Turkey

[2] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math, Eskisehir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 08期

关键词：

Exact solutions; Solitons; Sine-cosine method; (2+1)-Dimensional Boussinesq equation; (2+1)-Dimensional breaking soliton equations; (2+1)-Dimensional BKP equations; MULTIPLE-SOLITON-SOLUTIONS; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; HOMOGENEOUS BALANCE METHOD; EXTENDED TANH METHOD; BOUSSINESQ EQUATION; PERIODIC-SOLUTIONS; KP EQUATION;

D O I：

10.1016/j.amc.2009.09.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish exact solutions for (2 + 1)-dimensional nonlinear evolution equations. The sine-cosine method is used to construct exact periodic and soliton solutions of (2 + 1)-dimensional nonlinear evolution equations. Many new families of exact traveling wave solutions of the (2 + 1)-dimensional Boussinesq, breaking soliton and BKP equations are successfully obtained. These solutions may be important of significance for the explanation of some practical physical problems. It is shown that the sine-cosine method provides a powerful mathematical tool for solving a great many nonlinear partial differential equations in mathematical physics. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3134 / 3139

页数：6

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