Single peak solitary wave and compacton solutions of the generalized two-component Hunter-Saxton system

被引：7
|
作者：
Li, Chunhai [1 ,2 ]
Wen, Shuangquan [1 ,2 ]
Chen, Aiyong [1 ,2 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
[2] Guilin Univ Elect Technol, Guangxi Expt Ctr Informat Sci, Guilin 541004, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 79卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hunter-Saxton system; Solitary wave; Peakon; Cuspon; Compacton;
D O I：
10.1007/s11071-014-1761-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Dynamical system theory is applied to the generalized two-component Hunter-Saxton system. Two singular straight lines are found in the associated topological vector field. The influence of parameters as well as the singular lines on the smoothness property of the traveling wave solutions is explored in detail. We obtain the single peak solitary wave and compacton solutions for the generalized two-component Hunter-Saxton system. Asymptotic analysis and numerical simulations are provided for smooth solitary wave, peakon, cuspon and compacton solutions of the generalized two-component Hunter-Saxton system.
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页码：1575 / 1585
页数：11
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