{"title":"The multiple-soliton solution of the Camassa-Holm equation","authors":"Yi-shen Li, Jin E. Zhang","doi":"10.1098/rspa.2004.1331","DOIUrl":null,"url":null,"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.","PeriodicalId":20722,"journal":{"name":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"93","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.2004.1331","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.
期刊介绍：
Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.
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