2012•Journal of South China Normal UniversityRequires access

The(g′/g2)-Expansion Method and its Application to Coupled Nonlinear Klein-Gordon Equation

Chen Hao

Abstract

Using the(g′/g2)-expansion method,exact solutions for coupled nonlinear Klein-Gordon equation are constructed.As the result,the hyperbolic function solutions,trigonometric function solutions,and rational solutions with arbitrary parameters to the equation are obtained.When the arbitrary parameters in hyperbolic function solutions are taken as some special values,the solitary wave solutions can be obtained.By introducing a parameter,the trigonometric function solutions can be expressed as periodic wave solutions.

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Key concepts: Hyperbolic function, Trigonometric functions, Periodic wave, Trigonometry, Mathematics, Mathematical analysis, Klein–Gordon equation, Function (biology)