Explicit series solutions to nonlinear evolution equations: The sine-cosine method

被引：9

作者：

Betchewe, Gambo ^{[1
,2
,3
]}

Thomas, Bouetou Bouetou ^{[2
,3
]}

Victor, Kuetche Kamgang ^{[2
,3
]}

Crepin, Kofane Timoleon ^{[2
,3
]}

机构：

[1] Univ Maroua, Higher Teachers Training Coll Maroua, Maroua, Cameroon

[2] Univ Yaounde 1, Ecole Natl Super Polytech, Yaounde, Cameroon

[3] Univ Yaounde 1, Fac Sci, Dept Phys, Yaounde, Cameroon

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 12期

关键词：

Sine-cosine method; Periodic wave solutions; Solitary wave solutions; Coupled quadratic nonlinear equations; Coupled Klein-Gordon-Schrodinger equations; EXP-FUNCTION METHOD; F-EXPANSION METHOD; DISPERSIVE K(N; N); EQUATIONS; HOMOGENEOUS BALANCE METHOD; HIGHER-DIMENSIONAL SPACES; ELLIPTIC FUNCTION-METHOD; SOLITARY-WAVE SOLUTIONS; PERIODIC-SOLUTIONS; TANH METHOD; GORDON EQUATIONS;

D O I：

10.1016/j.amc.2009.12.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a sine-cosine method is used to construct many periodic and solitary wave solutions to two nonlinear evolution systems: the coupled quadratic nonlinear equations and the coupled Klein-Gordon-Schrodinger equations. Under different parameter conditions, explicit formulas for some new periodic and solitary wave solutions are successfully obtained. The proposed solutions are found to be important for the explanation of some practical physical problems. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：4239 / 4247

页数：9

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