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物理学报  2006 

Double Jacobian elliptic function expansion method under a general function transform and its applications
一般变换下双Jacobi椭圆函数展开法及应用

Keywords: Jacobian elliptic function expansion method,nonlinear evolution equation,function transform,periodic solution
Jacobi椭圆函数展开法
,非线性发展方程,函数变换,周期解

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Abstract:

A modified double Jacobian elliptic function expansion method under a general function transform, which is more general than the Jacobian elliptic function expansion method under a travelling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. Some new exact periodic solutions are obtained by this method which include previous solutions, replenishing the known results of the equations.

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