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物理学报  2009 

A method for constructing exact solutions of nonlinear evolution equation with variable coefficients
构造变系数非线性发展方程精确解的一种方法

Keywords: auxiliary equation,function transformation,nonlinear evolution equation with variable coefficients,exact solution
辅助方程,
,函数变换,,变系数非线性发展方程,,精确解

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Abstract:

A function transformation method for constructing exact solutions of the variable coefficient nonlinear evolution equations is proposed. The method together with the the second kind of elliptic equation and the symbolic computation system Mathematica is used to construct the new exact Jacobi elliptic function solutions, the degenerated soliton-like solutions and trigonometric function solutions of the composed KdV equation with forced variable coefficients.

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