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Variational principles and conservation laws to the Burridge-Knopoff 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.accessioned2022-06-21T12:17:43Z
dc.date.available2022-06-21T12:17:43Z
dc.date.issued2008-12
dc.description.abstractWe generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of earthquake faults by a new conservation theorem proposed recently by Ibragimov. One can employ this new general theorem for every differential equation (or systems) and derive new local and nonlocal conservation laws. Nonlocal conservation laws comprise nonlocal variables defined by the adjoint equations to the Burridge-Knopoff equation.
dc.identifier.citationYaşar, E. (2008). "Variational principles and conservation laws to the Burridge-Knopoff equation". Nonlinear Dynamics, 54(4), 307-312.
dc.identifier.doi10.1007/s11071-008-9330-x
dc.identifier.endpage312
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.issue4
dc.identifier.scopus2-s2.0-54949091591
dc.identifier.startpage307
dc.identifier.urihttps://doi.org/10.1007/s11071-008-9330-x
dc.identifier.urihttps://link.springer.com/article/10.1007/s11071-008-9330-x
dc.identifier.urihttp://hdl.handle.net/11452/27338
dc.identifier.volume54
dc.identifier.wos000260316300003
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherSpringer
dc.relation.journalNonlinear Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAdjoint equation
dc.subjectBurridge-knopoff equation
dc.subjectConservation laws
dc.subjectLagrangian
dc.subjectNonlocal variables
dc.subjectSymmetries
dc.subjectDynamics
dc.subjectMathematical models
dc.subjectVariational techniques
dc.subjectAdjoint equation
dc.subjectBurridge-Knopoff equation
dc.subjectConservation laws
dc.subjectLagrangian
dc.subjectNonlocal variables
dc.subjectSymmetries
dc.subjectNonlinear equations
dc.subjectEngineering
dc.subjectMechanics
dc.subject.scopusConservation Laws; Lie Point Symmetries; Self-Adjointness
dc.subject.wosEngineering, Mechanical
dc.subject.wosMechanics
dc.titleVariational principles and conservation laws to the Burridge-Knopoff equation
dc.typeArticle
dc.wos.quartileQ2
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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