An additional Gibbs' state for the cubic Schrödinger equation on the circle

DOI10.1002/cpa.2zbMath1036.37024arXivnlin/0009019OpenAlexW2033689810MaRDI QIDQ2710690

K. L. Vaninskij

Publication date: 26 April 2001

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0009019

zbMATH Keywords

Ablowitz-Ladik systemcubic nonlinear Schrödinger equation on the circleGibbs' state

Mathematics Subject Classification ID

Related Items (3)

Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ A bi-Hamiltonian structure for the integrable, discrete nonlinear Schrödinger system ⋮ Invariant Measures for Integrable Spin Chains and an Integrable Discrete Nonlinear Schrödinger Equation

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• Periodic nonlinear Schrödinger equation and invariant measures
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• Erratum: Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger
• Nonlinear differential–difference equations and Fourier analysis
• [https://portal.mardi4nfdi.de/wiki/Publication:4342735 Action-angle variables for the cubic Schr�dinger equation]
• [https://portal.mardi4nfdi.de/wiki/Publication:4348828 Cubic Schr�dinger: The petit canonical ensemble in action-angle variables]
• Finite genus solutions to the Ablowitz‐Ladik equations

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