Involutive functionals, infinite dimensional tori, and neighboring tori
DOI10.1006/jfan.1997.3169zbMath0913.58026OpenAlexW1993140013MaRDI QIDQ1270007
Publication date: 26 May 1999
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1997.3169
infinite dimensional toriinfinite dimensional version of the Liouville theoreminvolutive functionalsneighbouring tori
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Almost and pseudo-almost periodic solutions to PDEs (35B15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
Cites Work
- The initial value problem for the sequence of generalized Korteweg-de Vries equations
- Commuting flows and invariant tori: Korteweg-de Vries
- The periodic problem for the Korteweg-de Vries equation
- Hill's operator with finitely many gaps
- The spectrum of Hill's equation
- Periodic solutions of the KdV equation
- Almost Periodic Solutions of the KdV Equation
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
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