A focusing-defocusing intermediate nonlinear Schr\"odinger system
Exactly Solvable and Integrable Systems
2022-12-08 v1 Mathematical Physics
math.MP
Abstract
We introduce and study a system of coupled nonlocal nonlinear Schr\"odinger equations that interpolates between the mixed, focusing-defocusing Manakov system on one hand and a limiting case of the intermediate nonlinear Schr\"odinger equation on the other. We show that this new system, which we call the intermediate mixed Manakov (IMM) system, admits multi-soliton solutions governed by a complexification of the hyperbolic Calogero-Moser (CM) system. Furthermore, we introduce a spatially periodic version of the IMM system, for which our result is a class of exact solutions governed by a complexified elliptic CM system.
Cite
@article{arxiv.2212.03751,
title = {A focusing-defocusing intermediate nonlinear Schr\"odinger system},
author = {Bjorn K. Berntson and Alexander Fagerlund},
journal= {arXiv preprint arXiv:2212.03751},
year = {2022}
}
Comments
37 pages, 9 figures