342 citations · 355 across the 6 of their papers we have counts for
6 papers
NLS approximation and dark solitons for the Adlam-Allen model of cold collisionless plasmas
George P. Veldes, Vassilis Koukouloyannis, Dimitrios J. Frantzeskakis +1
The present work extends earlier considerations on a quintessential model of cold, collisionless plasmas, namely the Adlam-Allen model. Previously, an analysis of homoclinic soluti…
Propagation of periodic wave trains along the magnetic field in a collision-free plasma
G. Abbas, P. G. Kevrekidis, J. E. Allen +3
In this work, a systematic study, examining the propagation of periodic and solitary wave along the magnetic field in a cold collision-free plasma, is presented. Employing the quas…
Extreme events in near integrable lattices
C. Hoffmann, E. G. Charalampidis, D. J. Frantzeskakis +1
In the present work, we examine the potential robustness of extreme wave events associated with large amplitude fluctuations of the Peregrine soliton type, upon departure from the…
Oscillons and oscillating kinks in the Abelian-Higgs model
C. E. Tsagkarakis, V. Achilleos, F. K. Diakonos +5
We study the classical dynamics of the Abelian Higgs model employing an asymptotic multiscale expansion method, which uses the ratio of the Higgs to the gauge field amplitudes as a…
Scattering of matter-waves in spatially inhomogeneous environments
F. Tsitoura, P. Krüger, P. G. Kevrekidis +1
We study scattering of quasi one-dimensional matter-waves at an interface of two spatial domains, one with repulsive and one with attractive interatomic interactions. It is shown t…
Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
R. Carretero-Gonzalez, D. J. Frantzeskakis, P. G. Kevrekidis
The aim of the present review is to introduce the reader to some of the physical notions and of the mathematical methods that are relevant to the study of nonlinear waves in Bose-E…