A Synthetical Two-Component Model with Peakon Solutions

被引：53
作者：
Xia, Baoqiang
Qiao, Zhijun
Zhou, Ruguang
机构：
[1] Jiangsu Normal Univ, Xuzhou 221116, Jiangsu, Peoples R China
[2] Univ Texas Pan Amer, Edinburg, TX 78541 USA
来源：
STUDIES IN APPLIED MATHEMATICS | 2015年 / 135卷 / 03期
基金：
中国国家自然科学基金;
关键词：
SHALLOW-WATER; EQUATION; STABILITY;
D O I：
10.1111/sapm.12085
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized two-component model with peakon solutions is proposed in this paper. It allows an arbitrary function to be involved in as well as including some existing integrable peakon equations as special reductions. The generalized two-component system is shown to possess Lax pair and infinitely many conservation laws. Bi-Hamiltonian structures and peakon interactions are discussed in detail for typical representative equations of the generalized system. In particular, a new type of N-peakon solution, which is not in the traveling wave type, is obtained from the generalized system.
引用
收藏
页码：248 / 276
页数：29
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