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物理学报  2006 

New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation
非线性长波方程组和Benjamin方程的新精确孤波解

Keywords: new auxiliary equation,dispersive long-wave equation,Benjamin equation,exact solitary wave solution
新的辅助方程
,非线性长波方程组,Benjamin方程,孤波解

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Abstract:

On the basis of homogeneous balance method, tanh-function method and auxiliary equation method, new types of exact solitary wave solutions of the dispersive long-wave equation and Benjamin equation are constructed by using a new auxiliary equation and with the aid of computer algebraic system Mathematica in this paper. This method also can be used to find new solitary wave solutions of other nonlinear evolution equations.

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