2010Journal of Guizhou UniversityRequires access

New Exact Solutions to the Coupled Klein-Gordon-Zakharov Equations

Rui Cao

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Abstract

Based on homogeneous balance method and with the aid of Mathematica,the F-expansion method was utilized to obtain new exact solutions of coupled Klein-Gordon-Zakharov equations.In the extreme cases,the solitary wave solutions and trigonometric function solutions were obtained as well.It is shown that this method can also be used to find new exact solutions for other nonlinear evolution equations.

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Based on homogeneous balance method and with the aid of Mathematica,the F-expansion method was utilized to obtain new exact solutions of coupled Klein-Gordon-Zakharov equations.In the extreme cases,the solitary wave solutions and trigonometric function solutions were obtained as well.It is shown that this method can also be used to find new exact solutions for other nonlinear evolution equations.

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Available abstract

Based on homogeneous balance method and with the aid of Mathematica,the F-expansion method was utilized to obtain new exact solutions of coupled Klein-Gordon-Zakharov equations.In the extreme cases,the solitary wave solutions and trigonometric function solutions were obtained as well.It is shown that this method can also be used to find new exact solutions for other nonlinear evolution equations.

Key concepts: Klein–Gordon equation, Trigonometry, Trigonometric functions, Homogeneous, Traveling wave, Mathematics, Nonlinear system, Exact solutions in general relativity

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