用指数函数法求解KdV-Burgers-Kuramoto方程和Kuramoto-Sivashinsky方程

数学季刊 ›› 2012, Vol. 27 ›› Issue (4): 562-571.

用指数函数法求解KdV-Burgers-Kuramoto方程和Kuramoto-Sivashinsky方程

1. Department of Modern Physics, University of Science and Technology of China 2. School for the Gifted Young, University of Science and Technology of China 3. The Research Center for Complex System Science, University of Shanghai for Science and Technology and Shanghai Academy of System Science

收稿日期:2011-04-15 出版日期:2012-12-30 发布日期:2023-03-16
作者简介:CHEN Bo-kui(1985-), male, native of Tonghua, Jilin, Ph.D., engages in exact solutions of nonlinear evolution equations: LIU Yi-ke(1991-), female, native of Wuhan, Hubei, engages in nonlinear evolution equations; WANG Bing-hong(1944-), male, native of Shanghai, a professor of University of Science and Technology of China, engages in statistical physics, complexity science, nonlinear evolution equations.
基金资助:
Supported by the National Natural Science Foundation of China(91024026,10975126)； Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(200934021100 32)

Application of Exp-function Method to KdV-Burgers-Kuramoto Equation and Kuramoto-Sivashinsky Equation

1. Department of Modern Physics, University of Science and Technology of China 2. School for the Gifted Young, University of Science and Technology of China 3. The Research Center for Complex System Science, University of Shanghai for Science and Technology and Shanghai Academy of System Science

Received:2011-04-15 Online:2012-12-30 Published:2023-03-16
About author:CHEN Bo-kui(1985-), male, native of Tonghua, Jilin, Ph.D., engages in exact solutions of nonlinear evolution equations: LIU Yi-ke(1991-), female, native of Wuhan, Hubei, engages in nonlinear evolution equations; WANG Bing-hong(1944-), male, native of Shanghai, a professor of University of Science and Technology of China, engages in statistical physics, complexity science, nonlinear evolution equations.
Supported by:
Supported by the National Natural Science Foundation of China(91024026,10975126)； Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(200934021100 32)

摘要/Abstract

摘要： This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation. It is demonstrated that the Exp-function method provides a mathematical tool for solving the nonlinear evolution equation in mathematical physics.

关键词: Exp-function method, nonlinear evolution equation, KdV-Burgers-Kuramoto equation, Kuramoto-Sivashinsky equation

Abstract: This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation. It is demonstrated that the Exp-function method provides a mathematical tool for solving the nonlinear evolution equation in mathematical physics.

Key words: Exp-function method, nonlinear evolution equation, KdV-Burgers-Kuramoto equation, Kuramoto-Sivashinsky equation

中图分类号:

O175.29

陈博奎, 刘伊可, 汪秉宏. 用指数函数法求解KdV-Burgers-Kuramoto方程和Kuramoto-Sivashinsky方程[J]. 数学季刊, 2012, 27(4): 562-571.

CHEN Bo-kui, LIU Yi-ke, WANG Bing-hong. Application of Exp-function Method to KdV-Burgers-Kuramoto Equation and Kuramoto-Sivashinsky Equation[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 562-571.