Xiaohong Chen, Yan Sun, Daqing Zhang, Liancheng Zhu
{"title":"一种新的可积哈密顿层次及相关的可积耦合系统","authors":"Xiaohong Chen, Yan Sun, Daqing Zhang, Liancheng Zhu","doi":"10.1109/ICICIP.2015.7388221","DOIUrl":null,"url":null,"abstract":"In this paper, a new loop algebra are established, from which an isospectral problem is hence defined. By making use of Tu's scheme, a new integrable system is obtained. It follows that integrable couplings of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.","PeriodicalId":265426,"journal":{"name":"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new integrable hamiltonian hierarchy and associated integrable coupling system\",\"authors\":\"Xiaohong Chen, Yan Sun, Daqing Zhang, Liancheng Zhu\",\"doi\":\"10.1109/ICICIP.2015.7388221\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a new loop algebra are established, from which an isospectral problem is hence defined. By making use of Tu's scheme, a new integrable system is obtained. It follows that integrable couplings of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.\",\"PeriodicalId\":265426,\"journal\":{\"name\":\"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2015.7388221\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2015.7388221","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new integrable hamiltonian hierarchy and associated integrable coupling system
In this paper, a new loop algebra are established, from which an isospectral problem is hence defined. By making use of Tu's scheme, a new integrable system is obtained. It follows that integrable couplings of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented.