{"title":"A simple soliton solution method for the (2+1) dimensional long dispersive wave equations","authors":"Zhang Jie-fang, Wu Feng-min","doi":"10.1088/1004-423X/8/5/002","DOIUrl":null,"url":null,"abstract":"A simple and direct method is presented to solve the (2+1) dimensional long dispersive wave equation. We introduced a variable dependent transformation in order to convert this equation into the simple forms, which are three coupled linear and bilinear partial differential equations, and give the single and double soliton solutions and the (1, N) dromion solution.","PeriodicalId":188146,"journal":{"name":"Acta Physica Sinica (overseas Edition)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Sinica (overseas Edition)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1004-423X/8/5/002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
A simple and direct method is presented to solve the (2+1) dimensional long dispersive wave equation. We introduced a variable dependent transformation in order to convert this equation into the simple forms, which are three coupled linear and bilinear partial differential equations, and give the single and double soliton solutions and the (1, N) dromion solution.