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arXiv · 2212.03751

A focusing-defocusing intermediate nonlinear Schr\"odinger system

Bjorn K. Berntson·Alexander Fagerlund
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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.

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Bjorn K. Berntson, Alexander Fagerlund. 2022-12-07. A focusing-defocusing intermediate nonlinear Schr\"odinger system. https://arxiv.org/abs/2212.03751

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