On the structure of Picard–Fuchs type equations for Liouville–Arnold integrable Hamiltonian system on cotangent phase spaces

DOI10.1063/1.1409961zbMath1063.37052OpenAlexW2042076324MaRDI QIDQ2774731

Anatoliy K. Prykarpatsky, Ufuk Taneri, A. M. Samoilenko

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1409961

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)

Cites Work

• Generalized separability for a Hamiltonian with nonseparable quartic potential
• Integrable quartic potentials and coupled KdV equations
• The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
• The Arnol′d formula for algebraically completely integrable systems
• On global action-angle coordinates
• Separability and Lax pairs for Hénon–Heiles system
• Quasi-point separation of variables for the Henon - Heiles system and a system with a quartic potential
• The Nonabelian Liouville-Arnold Integrability by Quadratures Problem: a Symplectic Approach
• Quantized W-algebra of sl(2, 1) and Quantum Parafermions of Uq(^sl(2))
• Picard–Fuchs equations and Whitham hierarchy in N=2 supersymmetric SU(r+1) Yang–Mills theory
• Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces

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