G. Haghighatdoost, S. Abdolhadi-zangakani, Rasoul Mahjoubi-Bahman
{"title":"四维实李群上的一些双哈密顿系统及其变量分离","authors":"G. Haghighatdoost, S. Abdolhadi-zangakani, Rasoul Mahjoubi-Bahman","doi":"10.22130/SCMA.2020.122380.764","DOIUrl":null,"url":null,"abstract":"In this work, we discuss bi-Hamiltonian structures on a family of integrable systems on 4-dimensional real Lie groups. By constructing the corresponding control matrix for this family of bi-Hamiltonian structures, we obtain an explicit process for finding the variables of separation and the separated relations in detail.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":"18 1","pages":"89-105"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups\",\"authors\":\"G. Haghighatdoost, S. Abdolhadi-zangakani, Rasoul Mahjoubi-Bahman\",\"doi\":\"10.22130/SCMA.2020.122380.764\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we discuss bi-Hamiltonian structures on a family of integrable systems on 4-dimensional real Lie groups. By constructing the corresponding control matrix for this family of bi-Hamiltonian structures, we obtain an explicit process for finding the variables of separation and the separated relations in detail.\",\"PeriodicalId\":38924,\"journal\":{\"name\":\"Communications in Mathematical Analysis\",\"volume\":\"18 1\",\"pages\":\"89-105\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22130/SCMA.2020.122380.764\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22130/SCMA.2020.122380.764","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups
In this work, we discuss bi-Hamiltonian structures on a family of integrable systems on 4-dimensional real Lie groups. By constructing the corresponding control matrix for this family of bi-Hamiltonian structures, we obtain an explicit process for finding the variables of separation and the separated relations in detail.