Fan Engui, Zhang Hongqing. Backlund Transformation and Exact Solutions for Whitham-Broer-Kaup Equations in Shallow Water[J]. Applied Mathematics and Mechanics, 1998, 19(8): 667-670.
Citation: Fan Engui, Zhang Hongqing. Backlund Transformation and Exact Solutions for Whitham-Broer-Kaup Equations in Shallow Water[J]. Applied Mathematics and Mechanics, 1998, 19(8): 667-670.

Backlund Transformation and Exact Solutions for Whitham-Broer-Kaup Equations in Shallow Water

  • Received Date: 1997-01-03
  • Rev Recd Date: 1998-02-27
  • Publish Date: 1998-08-15
  • By using a new method and Mathematica,the Backlund 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.
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