Soliton gas in integrable dispersive hydrodynamics

DOI10.1088/1742-5468/ac0f6dOpenAlexW3188857046MaRDI QIDQ5860323

Gennady A. El

Publication date: 19 November 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05812

zbMATH Keywords

nonlinear dynamicsnon-linear Schrödinger equationclassical integrability

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (14)

Introduction to the Special Issue on Emergent Hydrodynamics in Integrable Many-Body Systems ⋮ Correlation functions and transport coefficients in generalised hydrodynamics ⋮ Hydrodynamic equations for the Ablowitz–Ladik discretization of the nonlinear Schrödinger equation ⋮ Generalized hydrodynamics of the attractive non-linear Schrӧdinger equation ⋮ The dissipative generalized hydrodynamic equations and their numerical solution ⋮ Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics ⋮ Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation ⋮ A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation ⋮ Partial degeneration of finite gap solutions to the Korteweg–de Vries equation: soliton gas and scattering on elliptic backgrounds ⋮ Hydrodynamic gauge fixing and higher order hydrodynamic expansion ⋮ Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions ⋮ Form factors and generalized hydrodynamics for integrable systems ⋮ Generalized hydrodynamics of the KdV soliton gas ⋮ 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

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