13 citations · 21 across the 6 of their papers we have counts for
6 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…
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…
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 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…
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…
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…