摘要
利用分部理论获得一个新的几分量Camassa-Holm方程的多重尖峰孤子解.统一考察了该n分量Camassa-Holm方程的单尖峰孤子解,分类研究了二重尖峰孤子解.在n=4的情况下,举例说明了四分量CH方程的尖峰孤子解,并用图形分析了所得尖峰孤子解的相互作用情况.
A new n-component Camassa-Holm equation is investigated in weak sense. Wegive single- and double-peakon solutions of the new n-component Camassa-Holm equation in this paper. In particular, the double peakon solutions of the new 4-component Camassa- Holm equation are studied in detail. Simultaneously, the interaction of the double peakon solutions are shown by some figures.
作者
赵红霞
扎其劳
ZHAO Hong-xia;ZHAqilao(College of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China)
出处
《数学的实践与认识》
北大核心
2018年第20期212-221,共10页
Mathematics in Practice and Theory
基金
国家自然科学基金(11861050)
内蒙古自治区高等学校“青年科技英才支持计划”青年科技领军人才项目(NJYT14A04)
内蒙古自治区教育厅研究生科研创新基金项目(S20171013501,CXJJS17073)