{"title":"椭圆方程系统的约当规范形式","authors":"Mosito Lekhooana , Motlatsi Molati , Celestin Wafo Soh","doi":"10.1016/j.jcmds.2021.100006","DOIUrl":null,"url":null,"abstract":"<div><p>This work involves the study of elliptic type systems of equations in three independent variables. The Lie point symmetries of the systems are obtained; some of the symmetries of a particular system are used to perform reduction to an invariant system with one less independent variable. The symmetries of the reduced system are also obtained and used for further reduction to a system of ordinary differential equations (ODEs). The invariant solutions of the system of ODEs are constructed.</p></div>","PeriodicalId":100768,"journal":{"name":"Journal of Computational Mathematics and Data Science","volume":"1 ","pages":"Article 100006"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jcmds.2021.100006","citationCount":"1","resultStr":"{\"title\":\"Jordan canonical forms for systems of elliptic equations\",\"authors\":\"Mosito Lekhooana , Motlatsi Molati , Celestin Wafo Soh\",\"doi\":\"10.1016/j.jcmds.2021.100006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This work involves the study of elliptic type systems of equations in three independent variables. The Lie point symmetries of the systems are obtained; some of the symmetries of a particular system are used to perform reduction to an invariant system with one less independent variable. The symmetries of the reduced system are also obtained and used for further reduction to a system of ordinary differential equations (ODEs). The invariant solutions of the system of ODEs are constructed.</p></div>\",\"PeriodicalId\":100768,\"journal\":{\"name\":\"Journal of Computational Mathematics and Data Science\",\"volume\":\"1 \",\"pages\":\"Article 100006\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jcmds.2021.100006\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational Mathematics and Data Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2772415821000031\",\"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 Computational Mathematics and Data Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2772415821000031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Jordan canonical forms for systems of elliptic equations
This work involves the study of elliptic type systems of equations in three independent variables. The Lie point symmetries of the systems are obtained; some of the symmetries of a particular system are used to perform reduction to an invariant system with one less independent variable. The symmetries of the reduced system are also obtained and used for further reduction to a system of ordinary differential equations (ODEs). The invariant solutions of the system of ODEs are constructed.
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