most citedThe higher-dimensional Ablowitz-Ladik model: from (non-)integrability and solitary waves to surprising collapse properties and more exotic solutions

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

nlin.SI2024

PainleveBacklundCheck: A Sympy-powered Kivy app for the Painlevé property of nonlinear dispersive PDEs and auto-Bäcklund transformations

Shrohan Mohapatra, P. G. Kevrekidis, Stephane Lafortune

In the present work we revisit the Painlevé property for partial differential equations. We consider the PDE variant of the relevant algorithm on the basis of the fundamental work…

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…