Investigation of multi-soliton, multi-cuspon solutions to the Camassa-Holm equation and their interaction

被引：0
作者：
Xiaozhou Li
Yan Xu
Yishen Li
机构：
[1] University of Science and Technology of China,School of Mathematical Sciences
来源：
Chinese Annals of Mathematics, Series B | 2012年 / 33卷
关键词：
Camassa-Holm equation; Local discontinuous Galerkin method; Multisoliton; Multi-cuspon; 65M60; 35Q53;
D O I：
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摘要：
The authors study the multi-soliton, multi-cuspon solutions to the Camassa-Holm equation and their interaction. According to the solution formula due to Li in 2004 and 2005, the authors give the proper choice of parameters for multi-soliton and multicuspon solutions, especially for n ≥ 3 case. The numerical method (the so-called local discontinuous Galerkin (LDG) method) is also used to simulate the solutions and give the comparison of exact solutions and numerical solutions. The numerical results for the two-soliton and one-cuspon, one-soliton and two-cuspon, three-soliton, three-cuspon, three-soliton and one-cuspon, two-soliton and two-cuspon, one-soliton and three-cuspon, four-soliton and four-cuspon are investigated by the numerical method for the first time, respectively.
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页码：225 / 246
页数：21
相关论文
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