Physical Sciences and Mathematics Commons^™

Solitons In Multi-Component Nonlinear Schrödinger Models: A Survey Of Recent Developments, P. G. Kevrekidis, D. J. Frantzeskakis

Mathematics and Statistics Department Faculty Publication Series

In this review we try to capture some of the recent excitement induced by experimental developments, but also by a large volume of theoretical and computational studies addressing multi-component nonlinear Schrödinger models and the localized structures that they support. We focus on some prototypical structures, namely the dark-bright and dark-dark solitons. Although our focus will be on one-dimensional, two-component Hamiltonian models, we also discuss variants, including three (or more)-component models, higher-dimensional states, as well as dissipative settings. We also offer an outlook on interesting possibilities for future work on this theme.