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物理学报  2004 

New solitary wave solutions for nonlinear wave equation with fifth-order stronger nonlinear term
具5次强非线性项的波方程新的孤波解

Keywords: function-transformation method,solitary wave solution,direct integral method,nonlinear wave equation
函数变换法,
,孤波解,,直接积分法,,非线性波方程

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Abstract:

A new function-transformation method is proposed and four kinds of explicit exact solitary wave solutions of the Lienard equation, the generalized PC equation, the important nonlinear wave equation in mechanics, which have a fifth-order stronger nonlinear term, are obtained by a combination of the function-transformation method and the direct integral method. The method proposed in this paper can also be applied to other nonlinear equations with higher-order nonlinear terms.

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