Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case

In this paper, we study the spectral theory of soliton condensates - a special limit of soliton gases - for the focusing NLS (fNLS). In particular, we analyze the kinetic equation for the fNLS circular condensate, which represents the first example of an explicitly solvable fNLS condensate with nont...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Authors: Tovbis, Alexander, Wang, Fudong
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212350
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case. Alexander Tovbis and Fudong Wang. SIGMA 20 (2024), 070, 26 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine