{"title":"经典 Boussinesq-Burgers 系统的高维可积分变形","authors":"Xiaoyu Cheng, Qing Huang","doi":"10.1088/1572-9494/ad3546","DOIUrl":null,"url":null,"abstract":"\n In this paper, (1+1)-dimensional classical Boussinesq-Burgers (CBB) system is extended to a (4+1)-dimensional CBB system by using its conservation laws and the deformation algorithm. The Lax integrability, symmetry integrability and a large number of reduced systems of the new higher dimensional CBB system are given. What's more, for illustration, we study a (1+1)-dimensional reduced system of higher dimensional system and its exact solution is constructed by using Lie symmetry analysis and the power series method.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Higher dimensional integrable deformations of the classical Boussinesq-Burgers system\",\"authors\":\"Xiaoyu Cheng, Qing Huang\",\"doi\":\"10.1088/1572-9494/ad3546\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n In this paper, (1+1)-dimensional classical Boussinesq-Burgers (CBB) system is extended to a (4+1)-dimensional CBB system by using its conservation laws and the deformation algorithm. The Lax integrability, symmetry integrability and a large number of reduced systems of the new higher dimensional CBB system are given. What's more, for illustration, we study a (1+1)-dimensional reduced system of higher dimensional system and its exact solution is constructed by using Lie symmetry analysis and the power series method.\",\"PeriodicalId\":508917,\"journal\":{\"name\":\"Communications in Theoretical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Theoretical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1572-9494/ad3546\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad3546","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Higher dimensional integrable deformations of the classical Boussinesq-Burgers system
In this paper, (1+1)-dimensional classical Boussinesq-Burgers (CBB) system is extended to a (4+1)-dimensional CBB system by using its conservation laws and the deformation algorithm. The Lax integrability, symmetry integrability and a large number of reduced systems of the new higher dimensional CBB system are given. What's more, for illustration, we study a (1+1)-dimensional reduced system of higher dimensional system and its exact solution is constructed by using Lie symmetry analysis and the power series method.
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