Publication:
Conservation laws for one-layer shallow water wave systems

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dc.contributor.authorÖzer, Teoman
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.accessioned2021-12-14T10:55:21Z
dc.date.available2021-12-14T10:55:21Z
dc.date.issued2010-04
dc.description.abstractThe problem of correspondence between symmetries and conservation laws for one-layer shallow water wave systems in the plane flow, axisymmetric flow and dispersive waves is investigated from the composite variational principle of view in the development of the study [N.H. lbragimov, A new conservation theorem, journal of Mathematical Analysis and Applications, 333(1) (2007) 311-328]. This method is devoted to construction of conservation laws of non-Lagrangian systems. Composite principle means that in addition to original variables of a given system, one should introduce a set of adjoint variables in order to obtain a system of Euler-Lagrange equations for some variational functional. After studying Lie point and Lie-Backlund symmetries, we obtain new local and nonlocal conservation laws. Nonlocal conservation laws comprise nonlocal variables defined by the adjoint equations to shallow water wave systems. In particular, we obtain infinite local conservation laws and potential symmetries for the plane flow case.
dc.identifier.citationYaşar, E. ve Özer, T. (2010). "Conservation laws for one-layer shallow water wave systems". Nonlinear Analysis-Real World Applications, 11(2), 838-848.
dc.identifier.endpage848
dc.identifier.issn1468-1218
dc.identifier.issue2
dc.identifier.scopus2-s2.0-70449630122
dc.identifier.startpage838
dc.identifier.urihttps://doi.org/10.1016/j.nonrwa.2009.01.028
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1468121809000303
dc.identifier.urihttp://hdl.handle.net/11452/23261
dc.identifier.volume11
dc.identifier.wos000273101100023
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherPergamon-Elsevier Science
dc.relation.collaborationYurt içi
dc.relation.journalNonlinear Analysis-Real World Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectConservation laws
dc.subjectSymmetry groups
dc.subjectShallow water wave systems
dc.subjectPartial-differential equations
dc.subjectInvariant solutions
dc.subjectSymmetries
dc.subjectMathematics
dc.subjectBarium
dc.subjectDifferential equations
dc.subjectEuler equations
dc.subjectFluorine containing polymers
dc.subjectHydrodynamics
dc.subjectLagrange multipliers
dc.subjectQuantum theory
dc.subjectVariational techniques
dc.subjectWater analysis
dc.subjectWater waves
dc.subjectWaves
dc.subjectAdjoint equations
dc.subjectAdjoint variables
dc.subjectAxisymmetric flow
dc.subjectConservation law
dc.subjectConservation theorem
dc.subjectDispersive waves
dc.subjectEuler-lagrange equations
dc.subjectLagrangian system
dc.subjectLocal conservation
dc.subjectMathematical analysis
dc.subjectNonlocal
dc.subjectNonlocal variables
dc.subjectPlane flow
dc.subjectPotential symmetry
dc.subjectShallow water waves
dc.subjectSymmetry groups
dc.subjectVariational functional
dc.subjectVariational principles
dc.subjectWave equations
dc.subject.scopusConservation Laws; Lie Point Symmetries; Self-Adjointness
dc.subject.wosMathematics, applied
dc.titleConservation laws for one-layer shallow water wave systems
dc.typeArticle
dc.wos.quartileQ1
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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