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arXiv · 1512.06754

Solitons in Multi-Component Nonlinear Schrodinger Models: A Survey of Recent Developments

P. G. Kevrekidis·D. J. Frantzeskakis
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Abstract

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 Schrodinger 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.

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P. G. Kevrekidis, D. J. Frantzeskakis. 2015-12-21. Solitons in Multi-Component Nonlinear Schrodinger Models: A Survey of Recent Developments. https://arxiv.org/abs/1512.06754

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