Y. Acevedo-Agudelo, Oscar Londoño-Duque, D. García-Hernández, G. Loaiza-Ossa
{"title":"关于相对论流体球方程的李代数分类、守恒定律和不变解","authors":"Y. Acevedo-Agudelo, Oscar Londoño-Duque, D. García-Hernández, G. Loaiza-Ossa","doi":"10.18273/revint.v41n2-2023002","DOIUrl":null,"url":null,"abstract":"The optimal generating operators for the relativistic fluid sphere equation have been derived. We have characterized all invariant solutions of this equation using these operators. Furthermore, we have introduced variational symmetries and their corresponding conservation laws, employing both Noether's theorem and Ibragimov's method. Finally, we have classified the Lie algebra associated with the given equation.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"About Lie algebra classification, conservation laws, and invariant solutions for the relativistic fluid sphere equation\",\"authors\":\"Y. Acevedo-Agudelo, Oscar Londoño-Duque, D. García-Hernández, G. Loaiza-Ossa\",\"doi\":\"10.18273/revint.v41n2-2023002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The optimal generating operators for the relativistic fluid sphere equation have been derived. We have characterized all invariant solutions of this equation using these operators. Furthermore, we have introduced variational symmetries and their corresponding conservation laws, employing both Noether's theorem and Ibragimov's method. Finally, we have classified the Lie algebra associated with the given equation.\",\"PeriodicalId\":402331,\"journal\":{\"name\":\"Revista Integración\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Integración\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18273/revint.v41n2-2023002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Integración","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18273/revint.v41n2-2023002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
About Lie algebra classification, conservation laws, and invariant solutions for the relativistic fluid sphere equation
The optimal generating operators for the relativistic fluid sphere equation have been derived. We have characterized all invariant solutions of this equation using these operators. Furthermore, we have introduced variational symmetries and their corresponding conservation laws, employing both Noether's theorem and Ibragimov's method. Finally, we have classified the Lie algebra associated with the given equation.
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