Solitons and Gibbs Measures for Nonlinear Schrödinger Equations

DOI10.1051/mmnp/20127209zbMath1251.35150arXiv1109.0274OpenAlexW2963420604MaRDI QIDQ2896312

Kay Kirkpatrick

Publication date: 16 July 2012

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0274

zbMATH Keywords

statistical mechanicsNLS equationexact solvabilityinvariant Gibbs measures

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Soliton solutions (35C08) Special quantum systems, such as solvable systems (81Q80)

Related Items (2)

A stochastic thermalization of the discrete nonlinear Schrödinger equation ⋮ Concentration of the invariant measures for the periodic Zakharov, KdV, NLS and Gross-Piatevskii equations in \(1D\) and \(2D\)

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