304 citations · 1k across the 38 of their papers we have counts for
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nlin.PS2009★ 1 cited
The higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions
P. G. Kevrekidis, G. J. Herring, S. Lafortune +1
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schrodinger (NLS) model. We use singularity confinemen…
nlin.PS2009★ 2 cited
Soliton Dynamics in Linearly Coupled Discrete Nonlinear Schrödinger Equations
A. Trombettoni, H. E. Nistazakis, Z. Rapti +2
We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an elect…