On the use of extensions of the real number field to seek completely integrable Hamiltonian systems

DOI10.1016/0021-8928(88)90021-4zbMath0711.70019OpenAlexW1981207977MaRDI QIDQ922746

Alexander A. Burov

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90021-4

zbMATH Keywords

integrable Hamiltonian systemsextensions of the real number field

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

• The Hamiltonian formalism and a many-valued analogue of Morse theory
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