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On the Korteweg-de Vries equation: Convergent Birkhoff normal form

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Publication:1923963
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DOI10.1006/jfan.1996.0111zbMath0868.35099OpenAlexW1999106139MaRDI QIDQ1923963

Boris S. Mityagin, Thomas Kappeler, Daniel Bättig

Publication date: 13 October 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.0111


zbMATH Keywords

symplectic spacesHamiltonian systemsBirkhoff normal formKorteweg-de Vries equationPoisson structures


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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items (2)

On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS ⋮ Gap estimates of the spectrum of Hill’s equation and action variables for KdV




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