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Backlund transformation and exact solutions for whitham-broer-kaup equations in shallow water
Authors:Fan Engui  Zhang Hongqing
Institution:Institute of Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
Abstract:By using a new method and Mathematica the Bucklund transformations for Whitham-Broer-Kaup equations (WBK) are derived The connections between WBK equation, heat equation and Burgers equation are found, which are used to obtain three families of solutions for WBK equations, one of which is the family of solitary wave solutions.
Keywords:WBK equation  Backlund transformation  exact solution  solitary wave solution  
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