Commuting flows and infinite-dimensional tori: sine-Gordon

DOI10.1007/s00332-017-9369-2zbMath1386.35372OpenAlexW2590455540MaRDI QIDQ1682990

Martin jun. Schwarz

Publication date: 6 December 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-017-9369-2

zbMATH Keywords

sine-Gordonalmost periodic flowinfinite-dimensional tori

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Cites Work

• Commuting flows and invariant tori: Korteweg-de Vries
• The sine-gordon and sinh-gordon equations on the circle
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Nonlinear Schrödinger, Infinite Dimensional Tori and Neighboring Tori
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