The multiple-soliton solution of the Camassa-Holm equation

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-09-08 DOI:10.1098/rspa.2004.1331

Yi-shen Li, Jin E. Zhang

引用次数: 93

Abstract

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.

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Camassa-Holm方程的多孤子解

本文改进了Johnso对Constantin求解多孤子解Camassa-Holm方程的方法的实现。得到了q(y)的解析式和x与y的显式关系。给出了求解u(y)的一种算法。如何将时间变量t引入到解中也得到了清晰的解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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