{"title":"Applications of Nijenhuis geometry IV: Multicomponent KdV and Camassa–Holm equations","authors":"A. Bolsinov, A. Konyaev, V. Matveev","doi":"10.4310/DPDE.2023.v20.n1.a4","DOIUrl":null,"url":null,"abstract":"We construct a new series of multicomponent integrable PDE systems that con-tain as particular example (with appropriately chosen parameters) many famous integrable systems including KdV, coupled KdV [1], Harry Dym, coupled Harry Dym [2], Camassa-Holm, multicomponent Camassa-Holm [14], Kaup-Boussinesq systems. The series contains also integrable systems with no low-component analogues.","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2022-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamics of Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/DPDE.2023.v20.n1.a4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 6
Abstract
We construct a new series of multicomponent integrable PDE systems that con-tain as particular example (with appropriately chosen parameters) many famous integrable systems including KdV, coupled KdV [1], Harry Dym, coupled Harry Dym [2], Camassa-Holm, multicomponent Camassa-Holm [14], Kaup-Boussinesq systems. The series contains also integrable systems with no low-component analogues.
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