Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine-cosine method

被引：68

作者：

Yusufoglu, E. ^{[1
]}

Bekir, A. ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2006年 / 83卷 / 12期

关键词：

solitons; sine-cosine method; Konopelchenko-Dubrovsky equations; Klein-Gordon equations; Nizhnik-Novikov-Veselov equations;

D O I：

10.1080/00207160601138756

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 coupled nonlinear evolution equations. The sine-cosine method is used to construct exact periodic and soliton solutions of coupled nonlinear evolution equations. Many new families of exact travelling wave solutions of the (2+1)-dimensional Konopelchenko-Dubrovsky equations and the coupled nonlinear Klein-Gordon and Nizhnik-Novikov-Veselov equations are successfully obtained. The obtained solutions include compactons, solitons, solitary patterns and periodic solutions. These solutions may be important and of significance for the explanation of some practical physical problems.

引用

页码：915 / 924

页数：10

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