Nonlinear Waves in Discrete Systems
 Organizer(s):
Name:
Affiliation:
Country:
Baofeng Feng
University of Texas Rio Grande Valley
USA
Panayotis Kevrekidis
University of Massachusetts Amherst
USA
Georgios Theocharis
CNRS, University of Le Mans
France
 Introduction:  
  The study of nonlinear waves in discrete systems has witnessed significant developments in recent years, with applications spanning nonlinear optics, atomic physics, and metamaterials, among numerous others. This session aims to bring together experts investigating the unique features of discrete nonlinear wave models, including but not limited to the existence, stability and dynamics of discrete solitons and breathers, discrete shock waves, modulational and transverse instabilities, topological and non-Hermitian features and thermodynamic properties. We plan to invite  contributions that will explore analytical, numerical, and experimental perspectives, as well as connections to continuum limits, integrability, and novel computational approaches (including scientific Machine Learning ones). Some among the many models of interest include discrete nonlinear Schrödinger equations, Klein-Gordon and Fermi-Pasta-Ulam-Tsingou chains, long-range lattices, and tight-binding or lumped-element models that capture the nonlinear wave propagation in metamaterials. By fostering discussions among researchers working on these diverse yet interconnected themes, this session seeks to advance our understanding of discrete nonlinear wave dynamics and identify new directions for future research. We thus hope that it will be of interest to junior and more seasoned researchers alike.