Konopelchenko-Dubrovsky方程的周期解

数学季刊 ›› 2005, Vol. 20 ›› Issue (1): 72-78.

Konopelchenko-Dubrovsky方程的周期解

Periodic WDepartment of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; Department of Finance, Shanghai TV University, Shanghai 200092, China

收稿日期:2003-03-18 出版日期:2005-03-30 发布日期:2024-02-27
作者简介:ZHANG Jin-liang(1966-),male,native of Nanyang,Nenan,an associate professor Henan Uni- versity of Science and Technology,engages in nonlinear mathematical physics.
基金资助:
Supported by the Natural Science Foundation of Education Committee of Henan Province(2003110003) Supported by the Natural Science Foundation of Henan Province(0111050200)；

Periodic Wave Solutions for Konopelchenko-Dubrovsky Equation

Periodic WDepartment of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; Department of Finance, Shanghai TV University, Shanghai 200092, China

Received:2003-03-18 Online:2005-03-30 Published:2024-02-27
About author:ZHANG Jin-liang(1966-),male,native of Nanyang,Nenan,an associate professor Henan Uni- versity of Science and Technology,engages in nonlinear mathematical physics.
Supported by:
Supported by the Natural Science Foundation of Education Committee of Henan Province(2003110003) Supported by the Natural Science Foundation of Henan Province(0111050200)；

摘要/Abstract

摘要： By using F-expansion method proposed recently, we derive the periodic wave solution expressed by Jacobi elliptic functions for Konopelchenko-Dubrovsky equation. In the limit case, the solitary wave solution and other type of the traveling wave solutions are derived.

关键词: Konopelchenko-Dubrovsky equation, F-expansion method, Jacobi elliptic func- tions, periodic wave solution, solitary wave solution

Abstract: By using F-expansion method proposed recently, we derive the periodic wave solution expressed by Jacobi elliptic functions for Konopelchenko-Dubrovsky equation. In the limit case, the solitary wave solution and other type of the traveling wave solutions are derived.

Key words: Konopelchenko-Dubrovsky equation, F-expansion method, Jacobi elliptic func- tions, periodic wave solution, solitary wave solution

中图分类号:

O174.6

张金良, 张令元, 王明亮. Konopelchenko-Dubrovsky方程的周期解[J]. 数学季刊, 2005, 20(1): 72-78.

ZHANG Jin-liang, ZHANG Ling-yuan, WANG Ming-liang . Periodic Wave Solutions for Konopelchenko-Dubrovsky Equation[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 72-78.

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