(1+1)维KdV-mKdV方程的精确行波解及其性态
Exact Traveling Wave Solutions and Their Properties for the(1+1)Dimensional KdV-mKdV Equation
李玉江 1刘小华 1姚迪1
作者信息
- 1. 贵州民族大学数据科学与信息工程学院,贵阳 550025
- 折叠
摘要
利用平面动力系统理论方法,对(1+1)维KdV-mKdV方程的行波解进行定性分析,得到了不同参数条件下该方程行波解的存在性、个数和性态.采用改进的双曲函数展开方法,得到了(1+1)维KdV-mKdV方程的有理函数解、双曲函数解和三角函数解的精确表达式,并且给出了精确解的性态分析.
Abstract
Using the plane Dynamical systems theory method,the traveling wave solutions of the(1+1)dimensional KdV-mKdV equation are qualitatively analyzed,and the existence,number and behavior of the traveling wave solutions of the equation under different parameter conditions are obtained.By using an improved hyperbolic function expansion method,the exact expressions of rational function so-lution,hyperbolic function solutions,and trigonometric function solutions for the(1+1)dimensional KdV-mKdV equation were obtained,and the behavior analysis of the exact solutions was given.
关键词
KdV-mKdV方程/定性分析/改进的双曲函数展开法/行波解Key words
KdV-mKdV equation/qualitative analysis/improved hyperbolic functions expansion meth-od/traveling wave solutions引用本文复制引用
出版年
2024
NETL
NSTL
万方数据