On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS

DOI10.1215/S0012-7094-95-07914-9zbMath0855.58035MaRDI QIDQ1913352

Daniel Bättig, Anthony M. Bloch, Thomas Kappeler, Jean-Claude Guillot

Publication date: 11 February 1997

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

zbMATH Keywords

Korteweg-de Vries equationnonlinear Schrödinger equationsaction-angle variablessymplectomorphismperiodic Toda lattices

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Almost periodicity for the nonlinear cubic Schrödinger equation, Convergence to normal forms of integrable PDEs, KAM Theorem for the Nonlinear Schrödinger Equation, Book Review: The defocusing NLS equation and its normal form, Singularities of bi-Hamiltonian systems, On nomalized differentials on spectral curves associated with the sinh-Gordon equation, On the periodic KdV equation in weighted Sobolev spaces, Gap estimates of the spectrum of Hill’s equation and action variables for KdV, Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities

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