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物理学报  2007 

Jacobi elliptic function solutions to the coupled KdV-mKdV equation
组合KdV-mKdV方程的Jacobi椭圆函数解

Keywords: elliptic function of the first kind,Jacobi elliptic functions,coupled KdV-mKdV,equation,travelling wave solutions
第一类椭圆方程,
,Jacobi椭圆函数,,组合KdV-mKdV方程,,行波解

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Abstract:

Based on the new expansion of the first kind of elliptic function, a method for constructing Jacobi elliptic function solutions to nonlinear wave equations is p roposed. The method is applied to the coupled KdV-mKdV equation and some new Jacobi elliptic function solutions to the equation are obtained. Some specific kind s of solutions and their relevant figures are also presented.

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