83 citations · 592 across the 50 of their papers we have counts for
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The Stability of the -family of Peakon Equations
Efstathios G. Charalampidis, Ross Parker, Panayotis G. Kevrekidis +1
In the present work we revisit the -family model of peakon equations, containing as special cases the (Camassa-Holm) and (Degasperis-Procesi) integrable examples. We…
Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices
C. Chong, Yifan Wang, Donovan Marechal +6
We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets…
Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with anti- symmetry
Efstathios G. Charalampidis, Fred Cooper, John F. Dawson +2
We discuss the response of both moving and trapped solitary wave solutions of a nonlinear two-component nonlinear Schrödinger system in 1+1 dimensions to an anti- ext…
Kuznetsov-Ma breather-like solutions in the Salerno model
J. Sullivan, E. G. Charalampidis, J. Cuevas-Maraver +2
The Salerno model is a discrete variant of the celebrated nonlinear Schrödinger (NLS) equation interpolating between the discrete NLS (DNLS) equation and completely integrable Ablo…
Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, - and supersymmetric potential
Efstathios G. Charalampidis, John F. Dawson, Fred Cooper +2
We present trapped solitary wave solutions of a coupled nonlinear Schrödinger system in + dimensions in the presence of an external, supersymmetric and complex …
Deflation-based Identification of Nonlinear Excitations of the 3D Gross--Pitaevskii equation
N. Boullé, E. G. Charalampidis, P. E. Farrell +1
We present previously unknown solutions to the 3D Gross--Pitaevskii equation describing atomic Bose-Einstein condensates. This model supports elaborate patterns, including excited…