一类广义K(m,n)方程的行波解
Traveling wave solutions to a class of generalized K(m,n)equations
赵传业 1朱能 1张艳芬 1阮小军 1钟希杰2
作者信息
- 1. 南昌大学数学与计算机学院,江西南昌 330031
- 2. 南昌交通学院,江西南昌 330100
- 折叠
摘要
运用微分方程定性理论和动力系统分支方法,研究了一类广义K(m,n)方程的行波解.考虑了两种情形:K(1,3,2)方程和K(2,3,3)方程.在不同的参数条件下,得到K(1,3,2)方程的紧孤子和K(2,3,3)方程的紧孤子及周期爆破波解.进一步通过数值模拟,分析其系统的分支相图和行波解的波形图.
Abstract
This article studied traveling wave solutions to the generalized K(m,n)equations by the qualitative theory of dif-ferential equations and the bifurcation method of dynamical systems.Two cases are considered:the K(1,3,2)equation and the K(2,3,3)equation.Under the different parameter conditions,compactons of the K(1,3,2)equation are derived,compactons and periodic blow-up wave solutions of the K(2,3,3)equation are obtained.The bifurcation phase of the plane system and the figure of traveling wave solutions are analyzed by numerical simulations.
关键词
分支方法/K(m,n)方程/紧孤子/周期爆破波解Key words
bifurcation method/K(m,n)equation/compacton/periodic blow-up wave solution引用本文复制引用
基金项目
国家自然科学基金资助项目(11901277)
国家自然科学基金资助项目(12161055)
江西省自然科学基金资助项目(20192BAB211004)
出版年
2024
NETL
NSTL
万方数据