m-KdV-Sine-Gordon方程和m-KdV-Sinh-Gordon方程的行波解

数学季刊 ›› 2013, Vol. 28 ›› Issue (1): 82-86.

m-KdV-Sine-Gordon方程和m-KdV-Sinh-Gordon方程的行波解

School of Mathematics and Statistics, Henan University of Science and Technology

收稿日期:2011-05-30 出版日期:2013-03-30 发布日期:2023-03-08
作者简介:LI Er-qiang(1979-), male, native of Xinle, Hebei, a lecturer of Henan University of Science and Technology, M.S.D., engages in solitons and integrable system; CHEN Jin-lan(1966-), female, native of Nanyang, Henan, a professor of Henan University of Science and Technology, M.S.D., engages in control theory and optimization.
基金资助:
Supported by the National Science Foundation of Education Department of Henan Province(2011B110013)

Travelling Wave Solutions to the m-KdV-Sine-Gordon Equation and the m-KdV-Sinh-Gordon Equation

School of Mathematics and Statistics, Henan University of Science and Technology

Received:2011-05-30 Online:2013-03-30 Published:2023-03-08
About author:LI Er-qiang(1979-), male, native of Xinle, Hebei, a lecturer of Henan University of Science and Technology, M.S.D., engages in solitons and integrable system; CHEN Jin-lan(1966-), female, native of Nanyang, Henan, a professor of Henan University of Science and Technology, M.S.D., engages in control theory and optimization.
Supported by:
Supported by the National Science Foundation of Education Department of Henan Province(2011B110013)

摘要/Abstract

摘要： By using the function transformation and proper Sub-ODE, exact travelling wave solutions of the m-KdV-Sine-Gordon and the m-KdV-Sinh-Gordon equation are obtained, from which exact travelling wave solutions of the m-KdV equation, the Sine-Gordon equation and the Sinh-Gordon equation are derived.

关键词: function transformation, m-KdV-Sine-Gordon equation, m-KdV-Sinh-Gordon equation, Sub-ODE, travelling wave solutions

Abstract: By using the function transformation and proper Sub-ODE, exact travelling wave solutions of the m-KdV-Sine-Gordon and the m-KdV-Sinh-Gordon equation are obtained, from which exact travelling wave solutions of the m-KdV equation, the Sine-Gordon equation and the Sinh-Gordon equation are derived.

Key words: function transformation, m-KdV-Sine-Gordon equation, m-KdV-Sinh-Gordon equation, Sub-ODE, travelling wave solutions

中图分类号:

O175.2

李二强, 陈金兰. m-KdV-Sine-Gordon方程和m-KdV-Sinh-Gordon方程的行波解[J]. 数学季刊, 2013, 28(1): 82-86.

LI Er-qiang, CHEN Jin-lan. Travelling Wave Solutions to the m-KdV-Sine-Gordon Equation and the m-KdV-Sinh-Gordon Equation[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 82-86.