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中国物理学会期刊

扰动KdV方程孤子的同伦映射解

CSTR: 32037.14.aps.57.7419

Homotopic mapping solution of soliton for perturbed KdV equation

CSTR: 32037.14.aps.57.7419
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  • 利用同伦映射方法研究了一类非线性KdV(Korteweg de Vries)方程. 首先引入一个同伦变换,使相应的方程求孤子解问题转化为映射变换问题.然后利用映射特性得到了原方程孤子的近似解.

     

    Using the homotopic mapping method, a class of nonlinear KdV(Korteweg de Vries) equation is considered. Firstly, by introducing a homotopic transform, the problem of solving soliton for the corresponding equation is changed into a problem of mapping transform. Then on account of the property of the homotopic mapping, the approximate solution of soliton for the original equation is obtained.

     

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