Gabriel Ignacio Loaiza Ossa, Y. Acevedo-Agudelo, O. Londoño-Duque, Danilo A. García Hernández
{"title":"Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation","authors":"Gabriel Ignacio Loaiza Ossa, Y. Acevedo-Agudelo, O. Londoño-Duque, Danilo A. García Hernández","doi":"10.17230/ingciencia.17.34.5","DOIUrl":null,"url":null,"abstract":"All generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by groups of matrices.","PeriodicalId":30405,"journal":{"name":"Ingenieria y Ciencia","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ingenieria y Ciencia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17230/ingciencia.17.34.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
All generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by groups of matrices.