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

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dc.contributor.authorAcosta-Humánez, Primitivo
dc.contributor.authorGiraldo, Hernán
dc.contributor.authorPiedrahita, Carlos
dc.date.accessioned2018-03-21T22:41:49Z
dc.date.available2018-03-21T22:41:49Z
dc.date.issued2017
dc.description.abstractThe 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.eng
dc.identifier.issn09720871
dc.identifier.urihttp://hdl.handle.net/20.500.12442/1896
dc.language.isoengeng
dc.publisherPushpa Publishing Houseeng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.rights.licenseLicencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacionalspa
dc.sourceFar East Journal of Mathematical Sciences (FJMS)eng
dc.sourceVol. 102, No. 3 (2017)eng
dc.source.urihttp://www.pphmj.com/index.php?act=show_login&msg=Please%20first%20login!eng
dc.subjectDifferential Galois theoryeng
dc.subjectEikonal equationeng
dc.subjectHamilton equationeng
dc.subjectHelmholtz equationeng
dc.subjectHigh frequency approximationeng
dc.subjectMorales-Ramis theoryeng
dc.subjectRay theoryeng
dc.subjectRepresentations of quiverseng
dc.titleDifferential galois groups and representation of quivers for seismic models with constant hessian of square of slownesseng
dc.typearticleeng
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