A hierarchy of multidimensional Hénon-Heiles systems

DOI10.1007/S101140000045zbMath1065.37054OpenAlexW2086641095MaRDI QIDQ1586091

Yunbo Zeng

Publication date: 2000

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140000045

zbMATH Keywords

Lax representationJacobi inversion problemhigher-order constrained flowmultidimensional Hénon-Heiles systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

On the integrability of twofold 1 : 2 Hamiltonian resonance ⋮ Finite‐Dimensional Integrable Hamiltonian Systems Related to the Nonlinear Schrödinger Equation

Cites Work

• Unnamed Item
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• A unified approach to Painlevé expansions
• The Hénon-Heiles system revisited
• Theta functions and non-linear equations
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
• The deduction of the Lax representation for constrained flows from the adjoint representation

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