{"title":"新的Lax可积演化方程层次及其无限维双哈密顿结构","authors":"Zhu Li-li","doi":"10.7498/aps.50.1232","DOIUrl":null,"url":null,"abstract":"Based on a new isospectral problem,this paper deduces a hierarchy of new generalized Kaup-Newell equations by using the Tu scheme. It shows that each equation in resulting hierarchy is integrable in the Liouville sense and has bi-Hamiltonian structure.","PeriodicalId":202236,"journal":{"name":"Journal of Taishan University","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Lax integrable hierarchy of evolution equations and its infinite dimensional bi-Hamiltonian structure\",\"authors\":\"Zhu Li-li\",\"doi\":\"10.7498/aps.50.1232\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on a new isospectral problem,this paper deduces a hierarchy of new generalized Kaup-Newell equations by using the Tu scheme. It shows that each equation in resulting hierarchy is integrable in the Liouville sense and has bi-Hamiltonian structure.\",\"PeriodicalId\":202236,\"journal\":{\"name\":\"Journal of Taishan University\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Taishan University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7498/aps.50.1232\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Taishan University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7498/aps.50.1232","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Lax integrable hierarchy of evolution equations and its infinite dimensional bi-Hamiltonian structure
Based on a new isospectral problem,this paper deduces a hierarchy of new generalized Kaup-Newell equations by using the Tu scheme. It shows that each equation in resulting hierarchy is integrable in the Liouville sense and has bi-Hamiltonian structure.
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