632 citations · 2.2k across the 58 of their papers we have counts for
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Peierls-Nabarro energy surfaces and directional mobility of discrete solitons in two-dimensional saturable nonlinear Schrödinger lattices
Uta Naether, Rodrigo A. Vicencio, Magnus Johansson
We address the problem of directional mobility of discrete solitons in two-dimensional rectangular lattices, in the framework of a discrete nonlinear Schrödinger model with saturab…
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…
Strong asymmetry for surface modes in nonlinear lattices with long-range coupling
Alejandro J. Martınez, Rodrigo A. Vicencio, Mario I. Molina
We analyze the formation of localized surface modes on a nonlinear cubic waveguide array in the presence of exponentially-decreasing long-range interactions. We find that the long-…