摘要
本文讨论了一个可积的两分量Camassa-Holm方程组的周期柯西问题,该模型可看作是修正Camassa-Holm方程的两分量推广.首先给出了显式的周期尖峰孤子解.其次,建立了强解的爆破准则以及强解爆破时初值满足的几个条件.
In this paper,we consider the periodic Cauchy problem of an integrable two-component Camassa-Holm system,which can be regarded as a two-component extension of the modified Camassa-Holm equation.First,the periodic peakons are obtained in explicit formulas.Then the precise blow-up scenarios of strong solutions and several conditions on the initial data that produce blow-up of the induced solutions are described in detail.
作者
张颖
彭聪明
Ying ZHANG;Cong Ming PEN(G School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,P.R.China)
出处
《数学学报（中文版）》
CSCD
北大核心
2021年第6期895-908,共14页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11561059)
天水师范学院“青蓝”人才工程基金资助项目。
