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20102021
most citedVortex solitons of the discrete Ginzburg-Landau Equation

15 citations · 55 across the 9 of their papers we have counts for

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physics.optics2020★ 5 cited

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…

physics.optics2014

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…

physics.optics2011

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…

physics.optics2011★ 15 cited

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…

physics.optics2010★ 11 cited

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…