61 citations · 364 across the 25 of their papers we have counts for
25 papers
Machine Learning of Nonlinear Waves: Data-Driven Methods for Computer-Assisted Discovery of Equations, Symmetries, Conservation Laws, and Integrability
Jimmie Adriazola, Panayotis G. Kevrekidis, Vassilis Koukouloyannis +1
The purpose of this article is to provide a perspective---admittedly, a rather subjective one---of recent developments at the interface of machine learning (ML)/data-driven methods…
Persistence of integrable wave dynamics in the Discrete Gross--Pitaevskii equation: the focusing case
G. Fotopoulos, N. I. Karachalios, V. Koukouloyannis
Expanding upon our prior findings on the proximity of dynamics between integrable and non-integrable systems within the framework of nonlinear Schrödinger equations, we examine thi…
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…
The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite dimensional approximations
Georgios Fotopoulos, Nikos I. Karachalios, Vassilis Koukouloyannis +2
The study of nonlinear Schrödinger-type equations with nonzero boundary conditions define challenging problems both for the continuous (partial differential equation) or the discre…
Interactions of solitary waves in the Adlam-Allen model
Boris A. Malomed, Panayotis G. Kevrekidis, Vassilis Koukouloyannis +2
We study the interactions of two or more solitary waves in the Adlam-Allen model describing the evolution of a (cold) plasma of positive and negative charges, in the presence of el…
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…