2010•WSEAS Transactions on Mathematics archiveRequires access

New exact traveling wave solutions for some non-linear evolution equations by (G′/G)-expansion method

Bin Zheng

Abstract

In this paper, we study the application of the known generalized (G′/G)-expansion method for seeking more exact traveling solutions solutions and soliton solutions of the ZK-MEW equation and the (2+1) dimensional Boiti-Leon-Pempinelli equation. As a result, we come to the conclusion that the traveling wave solutions for the two non-linear equations are obtained in three arbitrary functions 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: Traveling wave, Mathematics, Trigonometric functions, Hyperbolic function, Rational function, Trigonometry, Mathematical analysis, Function (biology)