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On the conservation laws and invariant solutions of the mKdV equation

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dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0003-4732-5753
dc.contributor.researcheridAAG-9947-2021
dc.contributor.scopusid23471031300
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.
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.
dc.identifier.endpage181
dc.identifier.issn0022-247X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-70350733514
dc.identifier.startpage174
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2009.08.030
dc.identifier.urihttp://hdl.handle.net/11452/23391
dc.identifier.volume363
dc.identifier.wos000272090700018
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherAcademic Press - Elsevier Science
dc.relation.journalJournal of Mathematical Analysis and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectConservation laws
dc.subjectSymmetries
dc.subjectPartial-differential-equations
dc.subjectWater
dc.subjectMathematics
dc.subject.scopusConservation Laws; Lie Point Symmetries; Self-Adjointness
dc.subject.wosMathematics, applied
dc.subject.wosMathematics
dc.titleOn the conservation laws and invariant solutions of the mKdV equation
dc.typeArticle
dc.wos.quartileQ1
dc.wos.quartileQ4
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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