Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (8): 713-716.

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BACKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR WHITHAM-BROER-KAUP EQUATIONS IN SHALLOW WATER

Fan Engui, Zhang Hongqing   

  1. Institute of Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:1997-06-03 Revised:1998-02-27 Online:1998-08-18 Published:1998-08-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China and the Pan Deng Projects of 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.

Key words: WBK equation, Backlund transformation, exact solution, solitary wave solution

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