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

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

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

范恩贵, 张鸿庆

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

收稿日期:1997-06-03 修回日期:1998-02-27 出版日期:1998-08-18 发布日期:1998-08-18
基金资助:
Project supported by the National Natural Science Foundation of China and the Pan Deng Projects of China

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

Fan Engui, Zhang Hongqing

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

摘要/Abstract

摘要： 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.

关键词: WBK equation, Backlund transformation, exact solution, solitary wave solution

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

范恩贵;张鸿庆. BACKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR WHITHAM-BROER-KAUP EQUATIONS IN SHALLOW WATER[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 713-716.

Fan Engui;Zhang Hongqing . BACKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR WHITHAM-BROER-KAUP EQUATIONS IN SHALLOW WATER[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 713-716.

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

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

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