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

Primitivo Acosta-Humánez, Hernán Giraldo, Carlos Piedrahita

Resultado de la investigación: Contribución a una revistaArtículoInvestigaciónrevisión exhaustiva

Resumen

© 2017 Pushpa Publishing House, Allahabad, India. The 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.
Idioma originalInglés estadounidense
Páginas (desde-hasta)599-623
Número de páginas25
PublicaciónFar East Journal of Mathematical Sciences
DOI
EstadoPublicada - 1 ago 2017

Huella dactilar

Galois Representations
Quiver
Galois group
Hamiltonian Systems
Eikonal Equation
Differential Algebra
Integrable Hamiltonian System
Variational Equation
India
Harmonic Oscillator
Linear Systems
Trajectory
Energy
Model

Citar esto

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abstract = "{\circledC} 2017 Pushpa Publishing House, Allahabad, India. The 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.",
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Differential galois groups and representation of quivers for seismic models with constant hessian of square of slowness. / Acosta-Humánez, Primitivo; Giraldo, Hernán; Piedrahita, Carlos.

En: Far East Journal of Mathematical Sciences, 01.08.2017, p. 599-623.

Resultado de la investigación: Contribución a una revistaArtículoInvestigaciónrevisión exhaustiva

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AU - Piedrahita, Carlos

PY - 2017/8/1

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