The -Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation | Zendy

Hasibun Naher | Zendy; Farah Aini Abdullah | Zendy; M. Ali Akbar | Zendy

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The -Expansion Method for Abundant Traveling Wave Solutions of Caudrey-Dodd-Gibbon Equation

Author(s) -

Hasibun Naher,

Farah Aini Abdullah,

M. Ali Akbar

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/218216

Subject(s) - traveling wave , trigonometric functions , trigonometry , hyperbolic function , mathematical analysis , mathematics , partial differential equation , nonlinear system , order (exchange) , rational function , hyperbolic partial differential equation , taylor series , physics , geometry , finance , quantum mechanics , economics

We construct the traveling wave solutions of the fifth-order Caudrey-Dodd-Gibbon (CDG) equation by the (/)-expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, the trigonometric, and the rational functions. It is shown that the (/)-expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations

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