On Hamiltonian systems in two degrees of freedom with invariants quartic in the momenta of form p21p22⋅⋅⋅

DOI10.1063/1.528895zbMath0706.70015OpenAlexW2042012056MaRDI QIDQ3486902

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528895

zbMATH Keywords

functional equationintegrable systemautonomous Hamiltonian systems in two degrees of freedom which admit a second invariant quartic in the momentamethod of Lax pairs

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

• Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
• Three integrable Hamiltonian systems connected with isospectral deformations
• Compatibility conditions for a non-quadratic integral of motion
• Construction of new integrable Hamiltonians in two degrees of freedom
• The Toda lattice. II. Existence of integrals
• Integrals of nonlinear equations of evolution and solitary waves