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物理学报  2005 

Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients
用试探方程法求变系数非线性发展方程的精确解

Keywords: trial equation method,variable coefficient KdV equation,Jacobi elliptic-sine(cosine)-like function solution,soliton-like solution
试探方程法,变系数KdV方程,类椭圆正弦(余弦)波解,类孤子解

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Abstract:

Trial equation method was applied to nonlinear evolution equations with variable coefficients. As examples, exact solutions for two kinds of KdV equations with variable coefficients were obtained. Some of these results were new.

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