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物理学报  2007 

The homotopic solving method of solitary wave for strong nonlinear evolution equation
强非线性发展方程孤波同伦解法

Keywords: evolution equation,nonlinear,soliton,approximate method
发展方程,
,非线性,,孤立子,,近似方法

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Abstract:

A strong nonlinear evolution equation is studied. Using the homotopic mapping method, firstly, the corresponding homotopic mapping transform is constructed; secondly, the suitable initial approximation is selected; and thirdly, using the iteration method, the approximate solution with arbitrary degree of accuracy for the solitary wave is obtained.

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