77 citations · 492 across the 25 of their papers we have counts for
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2D solutions of the hyperbolic discrete nonlinear Schrödinger equation
J. D'Ambroise, P. G. Kevrekidis
We derive stationary solutions to the two-dimensional hyperbolic discrete nonlinear Schrödinger (HDNLS) equation by starting from the anti-continuum limit and extending solutions t…
Solitary Waves of the Two-Dimensional Camassa-Holm--Nonlinear Schrödinger Equation
C. B. Ward, I. K. Mylonas, P. G. Kevrekidis +1
In this work, we study solitary waves in a (2+1)-dimensional variant of the defocusing nonlinear Schrödinger (NLS) equation, the so-called Camassa-Holm NLS (CH-NLS) equation. We us…
Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates
P. G. Kevrekidis, Wenlong Wang, R. Carretero-Gonzalez +1
In the present work, we develop an adiabatic invariant approach for the evolution of quasi-one-dimensional (stripe) solitons embedded in a two-dimensional Bose-Einstein condensate.…