3 papers
nlin.PS2026
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/data-driven methods an…
nlin.PS2025
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 th…
nlin.PS2025
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…