Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases

DOI10.1088/1751-8121/ac97d0OpenAlexW4302022935MaRDI QIDQ5874162

Fudong Wang, Alexander Tovbis

Publication date: 7 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03566

zbMATH Keywords

thermodynamic limitfocusing nonlinear Schrödinger equationsoliton and breather gases

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Estimates of eigenvalues in context of PDEs (35P15) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

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