2010•WSEAS Transactions on Mathematics archiveRequires access

Traveling wave solutions for the fifth-order Sawada-Kotera equation and the general Gardner equation by (G′/G)-expansion method

Qinghua Feng, Bin Zheng

Abstract

In this paper, a generalized (G′/G)-expansion method is used to seek more general exact solutions of the fifth-order Sawada-Kotera equation and the general Gardner equation. As a result, the traveling wave solutions with three arbitrary functions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. The method appears to be easier and faster by means of some mathematical software.

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Key concepts: Mathematics, Traveling wave, Trigonometric functions, Hyperbolic function, Order (exchange), Trigonometry, Rational function, Function (biology)