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物理学报 2006
New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation
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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.