Mario I Molina
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Explore the profile of Mario I Molina including associated specialties, affiliations and a list of published articles.
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33
Citations
83
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Recent Articles
1.
Mejia-Cortes C, Munoz-Munoz J, Molina M
Opt Lett
. 2024 Apr;
49(8):1923-1926.
PMID: 38621040
In this paper, we investigate a two-dimensional photonic array featuring a circular shape and an alternating gain and loss pattern. Our analysis revolves around determining the presence and resilience of...
2.
Molina M
Phys Rev E
. 2021 Sep;
104(2-1):024219.
PMID: 34525531
We examine the linear and nonlinear modes of a one-dimensional nonlinear electrical lattice, where the usual discrete Laplacian is replaced by a fractional discrete Laplacian. This induces a long-range intersite...
3.
Mejia-Cortes C, Molina M
Opt Lett
. 2021 May;
46(10):2256-2259.
PMID: 33988558
We examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new,...
4.
Molina M
Sci Rep
. 2021 May;
11(1):10044.
PMID: 33976370
We examine a fractional discrete nonlinear Schrodinger dimer, where the usual first-order derivative in the time evolution is replaced by a non integer-order derivative. The dimer is nonlinear (Kerr) and...
5.
Mejia-Cortes C, Castillo-Barake J, Molina M
Opt Lett
. 2020 Jul;
45(13):3569-3572.
PMID: 32630901
We address the issue of nonlinear modes in a two-dimensional waveguide array, spatially distributed in the Lieb lattice geometry, and modeled by a saturable nonlinear Schrödinger equation. In particular, we...
6.
Rivas D, Molina M
Sci Rep
. 2020 Apr;
10(1):5229.
PMID: 32251317
We study the transport properties of an initially localized excitation in several flat band lattices, in the presence of nonlinear (Kerr) disorder. In the weak nonlinearity regime, the dynamics is...
7.
Mejia-Cortes C, Cardona J, Sukhorukov A, Molina M
Phys Rev E
. 2019 Nov;
100(4-1):042214.
PMID: 31770892
We examine a one-dimensional nonlinear (Kerr) waveguide array which contains a single "void" waveguide where the nonlinearity is identically zero. We uncover a family of nonlinear localized modes centered at...
8.
Munoz F, Pinilla F, Mella J, Molina M
Sci Rep
. 2018 Nov;
8(1):17330.
PMID: 30478353
We propose a generalization of the Su-Schrieffer-Heeger (SSH) model of the bipartite lattice, consisting of a periodic array of domain walls. The low-energy description is governed by the superposition of...
9.
Savin A, Kivshar Y, Molina M
J Phys Condens Matter
. 2018 Aug;
30(37):375602.
PMID: 30074488
We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equilibrium at temperature T....
10.
Molina M
Sci Rep
. 2018 Feb;
8(1):2186.
PMID: 29391465
We study the bulk and surface nonlinear modes of a modified one-dimensional discrete nonlinear Schrödinger (mDNLS) equation. A linear and a modulational stability analysis of the lowest-order modes is carried...