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Group properties and conservation laws for nonlocal shallow water wave equation

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dc.contributor.authorRezvan, Farshad
dc.contributor.authorÖzer, Teoman
dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.contributor.orcid0000-0003-4732-5753
dc.contributor.researcheridAAG-9947-2021
dc.contributor.scopusid23471031300
dc.date.accessioned2021-12-31T11:35:50Z
dc.date.available2021-12-31T11:35:50Z
dc.date.issued2011-10
dc.description.abstractSymmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed.
dc.identifier.citationRezvan, F. vd. (2011). "Group properties and conservation laws for nonlocal shallow water wave equation". Applied Mathematics and Computation, 218(3), Special Issue, 974-979.
dc.identifier.doi10.1016/j.amc.2011.03.020
dc.identifier.endpage979
dc.identifier.issn0096-3003
dc.identifier.issue3, Special Issue
dc.identifier.scopus2-s2.0-80052265743
dc.identifier.startpage974
dc.identifier.urihttps://doi.org/10.1016/j.amc.2011.03.020
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0096300311003742
dc.identifier.urihttp://hdl.handle.net/11452/23791
dc.identifier.volume218
dc.identifier.wos000294298400061
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherElsevier Science
dc.relation.collaborationYurt içi
dc.relation.collaborationYurt dışı
dc.relation.journalApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectNonlocal shallow water wave equation
dc.subjectLie symmetries
dc.subjectConservation laws
dc.subjectSymmetry reductions
dc.subjectOptimal system
dc.subjectSelf-similar solutions
dc.subjectSystems
dc.subjectHydrodynamics
dc.subjectMechanical engineering
dc.subjectOptimal systems
dc.subjectOptimization
dc.subjectPhysical properties
dc.subjectWater waves
dc.subjectWaves
dc.subjectConservation law
dc.subjectLie symmetries
dc.subjectNonlocal shallow water wave equation
dc.subjectSelf-similar solution
dc.subjectSymmetry reductions
dc.subjectWave equations
dc.subject.scopusConservation Laws; Lie Point Symmetries; Self-Adjointness
dc.subject.wosMathematics, applied
dc.titleGroup properties and conservation laws for nonlocal shallow water wave equation
dc.typeArticle
dc.wos.quartileQ1
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Ana Bilim Dalı
local.indexed.atScopus
local.indexed.atWOS

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