Tri-Hamiltonian extensions of separable systems in the plane

DOI10.1063/1.2188227zbMath1111.37042arXivnlin/0407030OpenAlexW2056560196MaRDI QIDQ3441743

Luca Degiovanni

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/nlin/0407030

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton-Jacobi equations in mechanics (70H20)

Cites Work

• Separation of variables for bi-Hamiltonian systems
• Bihamiltonian structures and Stäckel separability
• Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
• Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
• TRI–HAMILTONIAN VECTOR FIELDS, SPECTRAL CURVES AND SEPARATION COORDINATES
• Quantized W-algebra of sl(2, 1) and Quantum Parafermions of Uq(^sl(2))