Integrability of nonlinear dynamical systems and differential geometry structures

DOI10.1007/BF01061017zbMath0808.58027OpenAlexW2133962471WikidataQ115394473 ScholiaQ115394473MaRDI QIDQ1332074

Valeriy H. Samoylenko

Publication date: 26 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf01061017

zbMATH Keywords

Poisson bracketsymplectic operator\(k\)-jet manifoldLiouville- integrable Hamiltonian flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Jets in global analysis (58A20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Manifolds of mappings (58D15)

Cites Work

• Unnamed Item
• Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation
• On the Hamiltonian structure of evolution equations

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