Separation of variables and Bäcklund transformations for the symmetric Lagrange top

DOI10.1088/0305-4470/37/35/007zbMath1075.70007arXivnlin/0403028OpenAlexW2022956146MaRDI QIDQ4654412

Matteo Petrera, Orlando Ragnisco, Vadim B. Kuznetsov

Publication date: 4 March 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0403028

zbMATH Keywords

algebraic Poisson structureGaudin magnettwo-point map

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical systems in classical and celestial mechanics (37N05) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Related Items (5)

Bäcklund transformations and divisor doubling ⋮ Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations ⋮ Elliptic curves and a new construction of integrable systems ⋮ An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems ⋮ Abel's theorem and Bäcklund transformations for the Hamilton-Jacobi equations

Uses Software

• Matlab

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