On the conservation laws and invariant solutions of the mKdV equation

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dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0003-4732-5753tr_TR
dc.contributor.researcheridAAG-9947-2021tr_TR
dc.contributor.scopusid23471031300tr_TR
dc.date.accessioned2021-12-20T07:39:18Z
dc.date.available2021-12-20T07:39:18Z
dc.date.issued2010-03-01
dc.description.abstractIn this paper, we consider modified Korteweg-de Vries (mKdV) equation. By using the nonlocal conservation theorem method and the partial Lagrangian approach, conservation laws for the mKdV equation are presented. It is observed that only nonlocal conservation theorem method lead to the nontrivial and infinite conservation laws. In addition, invariant solution is obtained by utilizing the relationship between conservation laws and Lie-point symmetries of the equation.en_US
dc.identifier.citationYaşar, E. (2010). "On the conservation laws and invariant solutions of the mKdV equation". Journal of Mathematical Analysis and Applications, 363(1), 174-181.en_US
dc.identifier.endpage181tr_TR
dc.identifier.issn0022-247X
dc.identifier.issue1tr_TR
dc.identifier.scopus2-s2.0-70350733514tr_TR
dc.identifier.startpage174tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2009.08.030
dc.identifier.urihttp://hdl.handle.net/11452/23391
dc.identifier.volume363tr_TR
dc.identifier.wos000272090700018tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherAcademic Press - Elsevier Scienceen_US
dc.relation.journalJournal of Mathematical Analysis and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConservation lawsen_US
dc.subjectSymmetriesen_US
dc.subjectPartial-differential-equationsen_US
dc.subjectWateren_US
dc.subjectMathematicsen_US
dc.subject.scopusConservation Laws; Lie Point Symmetries; Self-Adjointnessen_US
dc.subject.wosMathematics, applieden_US
dc.subject.wosMathematicsen_US
dc.titleOn the conservation laws and invariant solutions of the mKdV equationen_US
dc.typeArticle
dc.wos.quartileQ1en_US

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