15 citations · 55 across the 9 of their papers we have counts for
9 papers
Fractional discrete vortex solitons
Cristian Mejía-Cortés, Mario I. Molina
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 crea…
Localized vortex beams in anisotropic Lieb lattices
Cristian Mejía-Cortés, Jorge Castillo-Barake, Mario I. Molina
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 e…
Nonlinear optical lattices with a void impurity
Cristian Mejía-Cortés, J. C. Cardona, Andrey A. Sukhorukov +1
We examine a one-dimensional nonlinear (Kerr) waveguide array which contains a single "void" waveguide where the nonlinearity is identically zero. We uncover a new family of nonlin…
Spatial rogue waves in photorefractive SBN crystals
C. Hermann-Avigliano, I. A. Salinas, D. A. Rivas +5
We report on the excitation of large-amplitude waves, with a probability of around 1% of total peaks, on a photorefractive SBN crystal by using a simple experimental setup at room…
Random dimer model in pseudo two-dimensional lattices
Uta Naether, Cristian Mejía-Cortés, Rodrigo A. Vicencio
In this work, we study long-time wave transport in correlated and uncorrelated disordered 2D arrays. When a separation of dimensions is applied to the model, we find that the predi…
Interplay of disorder and -symmetry
C. Mejía-Cortés, M. I. Molina
We examine a one-dimensional -symmetric binary lattice in the presence of diagonal disorder. We focus on the wave transport phenomena of localized and extended input…
Multiplicity of vortex soliton families in the discrete Ginzburg-Landau equation, their interactions and the formation of bound states
Cristian Mejía-Cortés, J. M. Soto-Crespo, Rodrigo A. Vicencio +1
By using different continuation methods, we unveil a wide region in the parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation, where several families of st…
Vortex solitons of the discrete Ginzburg-Landau Equation
C. Mejía-Cortés, J. M. Soto-Crespo, Rodrigo A. Vicencio +1
We have found several families of vortex soliton solutions in two-dimensional discrete dissipative systems governed by the cubic-quintic complex Ginzburg-Landau equation. There are…
Dissipative vortex solitons in 2D-lattices
C. Mejía-Cortés, J. M. Soto-Crespo, Mario I. Molina +1
We report the existence of stable symmetric vortex-type solutions for two-dimensional nonlinear discrete dissipative systems governed by a cubic-quintic complex Ginzburg-Landau equ…