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

Fan Engui; Zhang Hongqing

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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.

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.

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

Institute of Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Received Date: 1997-01-03
Rev Recd Date: 1998-02-27
Publish Date: 1998-08-15

Abstract

Abstract

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.
- WBK equation,
- Backlund transformation,
- exact solution,
- solitary wave solution

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References(7)

References

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