{"title":"Korteweg-de Vries方程N孤子解的渐近形式","authors":"J. Gibbon, J. C. Eilbeck","doi":"10.1088/0305-4470/5/12/002","DOIUrl":null,"url":null,"abstract":"The asymptotic form of Hirota's N soliton solution of the Korteweg-de Vries equation is derived. The phase shifts of the N solitons caused by a general collision are found to be linear sums of two soliton terms.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"The asymptotic form of the N soliton solution of the Korteweg-de Vries equation\",\"authors\":\"J. Gibbon, J. C. Eilbeck\",\"doi\":\"10.1088/0305-4470/5/12/002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The asymptotic form of Hirota's N soliton solution of the Korteweg-de Vries equation is derived. The phase shifts of the N solitons caused by a general collision are found to be linear sums of two soliton terms.\",\"PeriodicalId\":54612,\"journal\":{\"name\":\"Physics-A Journal of General and Applied Physics\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1972-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics-A Journal of General and Applied Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/5/12/002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics-A Journal of General and Applied Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/5/12/002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The asymptotic form of the N soliton solution of the Korteweg-de Vries equation
The asymptotic form of Hirota's N soliton solution of the Korteweg-de Vries equation is derived. The phase shifts of the N solitons caused by a general collision are found to be linear sums of two soliton terms.