Symplectic structures and volume elements in the function space for the cubic Schrödinger equation

DOI10.1215/S0012-7094-98-09211-0zbMath0958.35131arXivsolv-int/9701018OpenAlexW1706087743MaRDI QIDQ1974798

K. L. Vaninskij

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9701018

zbMATH Keywords

periodic solutionsnonlinear Schrödinger equationalternative symplectic structuresstatistical mechanical properties

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

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• Gibbs' States for Moser-Calogero Potentials
• [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]

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