77 citations · 253 across the 15 of their papers we have counts for
16 papers
Geometry and solutions of an epidemic SIS model permitting fluctuations and quantization
Oğul Esen, Eduardo Fernández-Saiz, Cristina Sardón +1
Some recent works reveal that there are models of differential equations for the mean and variance of infected individuals that reproduce the SIS epidemic model at some point. This…
Cauchy data space and multisymplectic formulation of conformal classical field theories
Ogul Esen, Manuel de León, Cristina Sardón +1
In this article we inspect the dynamics of classical field theories with a local conformal behavior. Our interest in the multisymplectic setting comes from its suitable description…
The globalization problem of the Hamilton-DeDonder-Weyl equations on a local -symplectic framework
Oğul Esen, Manuel de León, Cristina Sardón +1
In this paper we aim at addressing the globalization problem of Hamilton-DeDonder-Weyl equations on a local -symplectic framework and we introduce the notion of {\it locally con…
Hamilton-Jacobi Formalism on Locally Conformally Symplectic Manifolds
Oğul Esen, Manuel de León, Cristina Sardón +1
In this article we provide a Hamilton-Jacobi formalism in locally conformally symplectic manifolds. Our interest in the Hamilton-Jacobi theory comes from the suitability of this th…
Reciprocal transformations and their role in the integrability and classification of PDEs
P. Albares, P. G. Estévez, C. Sardón
Reciprocal transformations mix the role of the dependent and independent variables of (nonlinear partial) differential equations to achieve simpler versions or even linearized vers…
A geometric Hamilton--Jacobi theory on a Nambu-Jacobi manifold
M. de León, C. Sardón
In this paper we propose a geometric Hamilton--Jacobi theory on a Nambu--Jacobi manifold. The advantange of a geometric Hamilton--Jacobi theory is that if a Hamiltonian vector fiel…
Cosymplectic and contact structures to resolve time-dependent and dissipative hamiltonian systems
M. de León, C. Sardón
In this paper, we apply the geometric Hamilton--Jacobi theory to obtain solutions of classical hamiltonian systems that are either compatible with a cosymplectic or a contact struc…
A geometric approach to solve time dependent and dissipative Hamiltonian systems
M. de León, C. Sardón
In this paper, we apply the geometric Hamilton--Jacobi theory to obtain solutions of Hamiltonian systems in Classical Mechanics, that are either compatible with a cosymplectic or a…
Iterative symmetry search and reduction of a wave water model in dimensions
P. G. Estévez, J. D. Lejarreta, C. Sardón
We present the iterative classical point symmetry analysis of a shallow water wave equation in dimensions and that of its corresponding nonisospectral, two component Lax pair…
Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in dimensions
P. G. Estévez, C. Sardón
We present two hierarchies of partial differential equations in dimensions. Since there exist reciprocal transformations that connect these hierarchies to the Calogero-Bogoya…
Lie-Hamilton systems on the plane: properties, classification and applications
A. Ballesteros, A. Blasco, F. J. Herranz +2
We study Lie-Hamilton systems on the plane, i.e. systems of first-order differential equations describing the integral curves of a -dependent vector field taking values in a fin…
From constants of motion to superposition rules for Lie-Hamilton systems
A. Ballesteros, J. F. Cariñena, F. J. Herranz +2
A Lie system is a nonautonomous system of first-order differential equations possessing a superposition rule, i.e. a map expressing its general solution in terms of a generic finit…
Dirac--Lie systems and Schwarzian equations
J. F. Cariñena, J. Grabowski, J. de Lucas +1
A Lie system is a system of differential equations admitting a superposition rule, i.e., a function describing its general solution in terms of any generic set of particular soluti…
On Lie systems and Kummer-Schwarz equations
J. de Lucas, C. Sardón
A Lie system is a system of first-order differential equations admitting a superposition rule, i.e., a map that expresses its general solution in terms of a generic family of parti…
Lie--Hamilton systems: theory and applications
J. F. Cariñena, J. de Lucas, C. Sardón
This work concerns the definition and analysis of a new class of Lie systems on Poisson manifolds enjoying rich geometric features: the Lie--Hamilton systems. We devise methods to…
A new Lie systems approach to second-order Riccati equations
J. F. Cariñena, J. de Lucas, C. Sardón
This work presents a newly renovated approach to the analysis of second-order Riccati equations from the point of view of the theory of Lie systems. We show that these equations ca…