Liouville integrability of perturbation systems of finite-dimensional integrable Hamiltonian systems

DOI10.1016/S0375-9601(00)00618-6zbMath1154.70330OpenAlexW1998260601MaRDI QIDQ2644091

Wen-Xiu Ma, Ruguang Zhou

Publication date: 7 September 2007

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00618-6

zbMATH Keywords

perturbationHamiltonian systemLiouville integrabilityrestricted AKNS flow

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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Two integrable couplings of the Tu hierarchy and their Hamiltonian structures, A LIOUVILLE INTEGRABLE MULTI-COMPONENT INTEGRABLE SYSTEM AND ITS INTEGRABLE COUPLINGS

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