43 citations · 92 across the 10 of their papers we have counts for
10 papers
On the Fractional Dynamics of Kinks in sine-Gordon Models
T. Bountis, J. Cantisán, J. Cuevas-Maraver +2
In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation.…
The Dissipative Effect of Caputo--Time-Fractional Derivatives and its Implications for the Solutions of Nonlinear Wave Equations
Tassos Bountis, Julia Cantisán, Jesús Cuevas-Maraver +2
In honor of the great Russian mathematician A. N. Kolmogorov, we would like to draw attention in the present paper to a curious mathematical observation concerning fractional diffe…
A right inverse of curl operator which is divergence free invariant and some applications to generalized Vekua type problems
Briceyda B. Delgado, Jorge E. Macías-Díaz
In this work, we investigate the system formed by the equations and in bounded star-shaped domains of . A Helmho…
A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem
J. E. Macías-Díaz, A. Puri
In this work, we present a conditionally stable finite-difference scheme that consistently approximates the solution of a general class of (3+1)-dimensional nonlinear equations tha…
An alternative proof of Hill's criterion of freeness for abelian groups
J. E. Macías-Díaz
In this note, we provide a different proof of Hill's criterion of freeness for abelian groups. Our proof hinges on the construction of suitable families of subgroups of the links i…
On completely decomposable and separable modules over Prüfer domains
L. Fuchs, J. E. Macías-Díaz
We generalize known results on summands of completely decomposable and separable torsion-free abelian groups to modules over h-local Prüfer domains. Over such domains summands of c…
A generalization of the Pontryagin-Hill theorems to projective modules over Prüfer domains
J. E. Macías-Díaz
Motivated by the Pontryagin-Hill criteria of freeness for abelian groups, we investigate conditions under which unions of ascending chains of projective modules are again projectiv…
On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system
J. E. Macías-Díaz
In this work, we present a numerical method to consistently approximate solutions of a spatially discrete, double sine-Gordon chain which considers the presence of external damping…
Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations
J. E. Macías-Díaz, S. Jerez-Galiano
In this work, we present two numerical methods to approximate solutions of systems of dissipative sine-Gordon equations that arise in the study of one-dimensional, semi-infinite ar…
On the transmission of binary bits in discrete Josephson-junction arrays
J. E. Macías-Díaz, A. Puri
In this work, we use supratransmission and infratransmission in the mathematical modeling of the propagation of digital signals in weakly damped, discrete Josephson-junction arrays…