{"title":"Generalized solutions to the Benjamin-Ono equations in sense of Colombeau.","authors":"Xiao-gang Jin, Jian-gang Yang, Jie Lin","doi":"10.1631/jzus.2004.1466","DOIUrl":null,"url":null,"abstract":"<p><p>This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution.</p>","PeriodicalId":85042,"journal":{"name":"Journal of Zhejiang University. Science","volume":"5 11","pages":"1466-70"},"PeriodicalIF":0.0000,"publicationDate":"2004-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1631/jzus.2004.1466","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Zhejiang University. Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1631/jzus.2004.1466","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper discusses the existence and uniqueness of the generalized solution in the sense of Colombeau to the Benjamin-Ono (B-O) equation and the relationship between the new generalized solution and the classical solution.