Bi-Hamiltonian separable chains on Riemannian manifolds.

DOI10.1016/S0375-9601(98)00246-1zbMath1044.37525OpenAlexW2093703697WikidataQ115339050 ScholiaQ115339050MaRDI QIDQ1966721

Maciej Błaszak

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00246-1

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 systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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Cites Work

• Separable Hamiltonians and integrable systems of hydrodynamic type
• Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
• How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
• Quasi-bi-Hamiltonian systems and separability
• On separability of bi-Hamiltonian chain with degenerated Poisson structures