The multiple-soliton solution of the Camassa-Holm equation

The multiple-soliton solution of the Camassa-Holm equation
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DOI：
10.1098/rspa.2004.1331
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发表时间：
2004-09
期刊：
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子：
--
通讯作者：
Yi-shen Li;Jin E. Zhang
Yi-shen Li;Jin E. Zhang
中科院分区：
其他
文献类型：
--
作者：
Yi-shen Li;Jin E. Zhang

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本文改进了Johnso的Constantin方法的实现，用于求解Camassa-Holm方程的多孤子解。给出了q（y）的解析表达式和x与y的显式关系，并给出了求解u（y）的算法。还清楚地解释了如何将时间变量t引入解中。
This paper refines Johnso's implementation of Constantin's method for solving the Camassa–Holm equation for a multiple–soliton solution. An analytical formula for the q(y) and an explicit relation between x and y are found. An algorithm of solving for u(y) is presented. How to introduce time variable t into the solution is also clearly explained.