Differential galois groups and representation of quivers for seismic models with constant hessian of square of slowness

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dc.contributorAcosta-Humánez, P., School of Basic and Biomedical Sciences, Universidad Simón Bolívar, Barranquilla, Colombia
dc.contributorGiraldo, H., Institute of Mathematics, Universidad de Antioquia, Medellín, Colombia
dc.contributorPiedrahita, C., Department of Basic Sciences, Universidad de Medellín, Medellín, Colombia
dc.creatorAcosta-Humánez P.
dc.creatorGiraldo H.
dc.creatorPiedrahita C.
dc.date2017-12-19T19:36:44Z
dc.date2017-12-19T19:36:44Z
dc.date2017
dc.date.accessioned2023-11-21T13:54:50Z
dc.date.available2023-11-21T13:54:50Z
dc.descriptionThe trajectory of energy is modeled by the solution of the Eikonal equation, which can be solved by solving a Hamiltonian system. This system is amenable of treatment from the point of view of the theory of differential algebra. In particular, by Morales-Ramis theory, it is possible to analyze integrable Hamiltonian systems through the abelian structure of their variational equations. In this paper, we obtain the abelian differential Galois groups and the representation of the quiver, that allow us to obtain such abelian differential Galois groups, for some seismic models with constant Hessian of square of slowness, proposed in [20], which are equivalent to linear Hamiltonian systems with three uncoupled harmonic oscillators. © 2017 Pushpa Publishing House, Allahabad, India.
dc.identifier9720871
dc.identifierhttp://hdl.handle.net/11407/4276
dc.identifier10.17654/MS102030599
dc.identifierreponame:Repositorio Institucional Universidad de Medellín
dc.identifierinstname:Universidad de Medellín
dc.identifier.urihttp://repository-salesiana.heoq.net/handle/123456789/224222
dc.languageeng
dc.publisherPushpa Publishing House
dc.publisherFacultad de Ciencias Básicas
dc.relationhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85027419050&doi=10.17654%2fMS102030599&partnerID=40&md5=cbf516e16e7dfa97fbf4463dc175d5b6
dc.relationFar East Journal of Mathematical Sciences
dc.relationFar East Journal of Mathematical Sciences Volume 102, Issue 3, August 2017, Pages 599-623
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dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.sourceScopus
dc.subjectDifferential Galois theory
dc.subjectEikonal equation
dc.subjectHamilton equation
dc.subjectHelmholtz equation
dc.subjectHigh frequency approximation
dc.subjectMorales-Ramis theory
dc.subjectRay theory
dc.subjectRepresentations of quivers
dc.titleDifferential galois groups and representation of quivers for seismic models with constant hessian of square of slowness
dc.typeArticle
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeinfo:eu-repo/semantics/article
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