Bäcklund transformations relating different Hamilton-Jacobi equations

DOI10.1007/s11232-015-0295-xzbMath1321.37072OpenAlexW1627583750MaRDI QIDQ499416

Yong-Cai Geng, Sumit K. Garg

Publication date: 30 September 2015

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-015-0295-x

zbMATH Keywords

Hamilton-Jacobi equationseparation of variablesBäcklund transformationLax matrix

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

New bi-Hamiltonian systems on the plane ⋮ Two integrable systems with integrals of motion of degree four ⋮ Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system ⋮ Bäcklund transformations for the nonholonomic Veselova system ⋮ Bäcklund transformations for the Jacobi system on an ellipsoid ⋮ Abel's theorem and Bäcklund transformations for the Hamilton-Jacobi equations

Cites Work

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• The Hénon-Heiles system revisited
• The problem of integrable discretization: Hamiltonian approach
• A new integrable case for the Kirchhoff equation
• Lax pairs for the deformed Kowalevski and Goryachev--Chaplygin tops
• On integrable Hamiltonians with velocity-dependent potentials
• Bäcklund transformations for finite-dimensional integrable systems: a geometric approach.
• Commutative Poisson subalgebras for Sklyanin brackets and deformations of some known integrable models
• Simultaneous separation for the Neumann and Chaplygin systems
• Toda chains in the Jacobi method
• Classical and quantum superintegrability with applications
• The analogue of the Backlund transformation for integrable many-body systems
• 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 Stäckel systems and algebraic curves
• INTEGRABLE CASES OF THE DYNAMICS OF A RIGID BODY, AND INTEGRABLE SYSTEMS ON THE SPHERESSⁿ
• Bäcklund transformations and Hamiltonian flows
• Explicit integration of the Hénon-Heiles Hamiltonians 1

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