16 citations · 17 across the 2 of their papers we have counts for
3 papers
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…
From Feshbach-Resonance Managed Bose-Einstein Condensates to Anisotropic Universes: Some Applications of the Ermakov-Pinney equation with Time-Dependent Nonlinearity
G. Herring, P. G. Kevrekidis, F. Williams +2
In this work we revisit the topic of two-dimensional Bose-Einstein condensates under the influence of time-dependent magnetic confinement and time-dependent scattering length. A mo…
On Some Classes of mKdV Periodic Solutions
P. G. Kevrekidis, Avinash Khare, A. Saxena +1
We obtain exact periodic solutions of the positive and negative modified Kortweg-de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices throu…