Commuting quadratic Hamiltonians with velocity dependent potentials

DOI10.1016/S0034-4877(99)80146-3zbMath0956.37044MaRDI QIDQ1573849

Allan P. Fordy, Evgeny V. Ferapontov

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemscommuting integralshydrodynamic type equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General theory of random and stochastic dynamical systems (37H05)

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Cites Work

• Separable Hamiltonians and integrable systems of hydrodynamic type
• Non-homogeneous systems of hydrodynamic type, related to quadratic Hamiltonians with electromagnetic term
• Generalized natural mechanical systems of two degrees of freedom with quadratic integrals
• Integrability, Stäckel spaces, and rational potentials
• Invariant description of solutions of hydrodynamic-type systems in hodograph space: hydrodynamic surfaces
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD