A new look into the concept of separable system of classical mechanics

DOI10.1016/j.physd.2023.133850zbMath1530.37078MaRDI QIDQ6096530

Franco Magri

Publication date: 12 September 2023

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

integrable systemsKdV equationKowalevski topseparable systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Integrable cases of motion in rigid body dynamics (70E40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

• Lifted tensors and Hamilton-Jacobi separability
• Separation of variables and explicit theta-function solution of the classical Steklov-Lyapunov systems: a geometric and algebraic geometric background
• Rigid body dynamics
• Bihamiltonian structures and Stäckel separability
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• The Kowalevski's top and the method of syzygies.
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