A class of Liouville-integrable Hamiltonian systems with two degrees of freedom

DOI10.1063/1.1288799zbMath0990.37044OpenAlexW1964977899MaRDI QIDQ2738225

Roman G. Smirnov, Raymond G. Mclenaghan

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1288799

zbMATH Keywords

Hamilton-Jacobi equationtwo-dimensional Hamiltonian systemsLiouville integrabilityLax pairbi-Hamiltonian representation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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Cites Work

• A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory
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