304 citations · 9.7k across the 421 of their papers we have counts for
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Persistence of kinks in the NLS equation with competing nonlinearities
P. G. Kevrekidis, D. E. Pelinovsky
External potentials break the translational invariance of nonlinear Schrödinger (NLS) equations and generally convert a continuous family of standing wave solutions into isolated p…
Radial dam breaks in a two-dimensional droplet bearing environment
F. Bristy, S. Chandramouli, G. A. Bougas +3
The controlled dynamical generation of radial dam break flows (DBFs) is demonstrated in two-dimensional droplet environments. These ultracold mixtures feature competing mean-field…
Inverse reconstruction of dissipative Kerr soliton interactions
Carlo Silvestri, Panayotis G. Kevrekidis, Stephane Coen +2
We reconstruct the pairwise interaction potential between dissipative Kerr solitons from the linear stability spectrum of a perfect soliton crystal solution of the Lugiato--Lefever…
Wedge problems and dispersive shock waves in the two-dimensional Toda lattice
Marco Calabrese, Gino Biondini, Christopher Chong +1
We study the formation and interaction of dispersive shock waves (DSWs) in the two-dimensional Toda lattice subject to wedge-type initial conditions, and show that their interactio…
Blowup of Multi-Peaked Waveforms in the Two-Dimensional Nonlinear Schroedinger Model
S. Jon Chapman, M. Kavousanakis, E. G. Charalampidis +2
In the present work, we explore the self-focusing and resulting collapse of two-dimensional waveforms involving multiple pulses in a nonlinear Schroedinger equation with a general…
Two-dimensional solitons in extended GPE models with Lee-Huang-Yang corrections
G. N. Koutsokostas, F. Bristy, E. C. Psychogiou +5
We investigate the existence and dynamics of two-dimensional solitary waves in a quantum droplet environment described by the extended Gross-Pitaevskii equation featuring logarithm…