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Nonlinear Sciences > Exactly Solvable and Integrable Systems
Title: A focusing-defocusing intermediate nonlinear Schrödinger system
(Submitted on 7 Dec 2022)
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.
Submission history
From: Alexander Fagerlund [view email][v1] Wed, 7 Dec 2022 16:23:31 GMT (1037kb,D)
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