Exact Solutions to the Sharma-Tasso-Olver Equation by Using ImprovedG′/G-Expansion Method | Zendy

Yinghui He | Zendy; Shaolin Li | Zendy; Yao Long | Zendy

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Exact Solutions to the Sharma-Tasso-Olver Equation by Using ImprovedG′/G-Expansion Method

Author(s) -

Yinghui He,

Shaolin Li,

Yao Long

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/247234

Subject(s) - algorithm , hyperbolic function , function (biology) , computer science , mathematics , mathematical analysis , evolutionary biology , biology

This paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. We propose an improved G′/G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation. As a result, some new traveling wave solutions involving hyperbolic functions, the trigonometric functions, are obtained. When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions, and the periodic wave solutions are derived from the trigonometric function solutions. The improved G′/G-expansion method is straightforward, concise and effective and can be applied to other nonlinear evolution equations inmathematical physics

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