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物理学报  2007 

New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation
变系数广义KdV方程新的类孤波解和精确解

Keywords: KdV equation,variable coefficient generalized KdV equation,solitary-wave-like solution,exact solution
KdV方程
,变系数广义KdV方程,类孤波解,精确解

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Abstract:

By the transforming with general KdV equation, the solutions of the variable coefficient generalized KdV equation are constructed firstly. As a result, we successfully obtain the new exact Jacobi elliptic function solutions, solitary-wave-like solutions, trigonometric function solutions and Weierstrass elliptic function solutions of variable coefficient generalized KdV equation.

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