Vadim B Kuznetsov et al 2004 J. Phys. A: Math. Gen. 37 8495 doi:10.1088/0305-4470/37/35/007
Separation of variables and Bäcklund transformations for the symmetric Lagrange top
Vadim B Kuznetsov1, Matteo Petrera2 and Orlando Ragnisco3
Show affiliationsWe construct the one- and two-point integrable maps (Bäcklund transformations) for the symmetric Lagrange top. We show that the Lagrange top has the same algebraic Poisson structure that belongs to the sl(2) Gaudin magnet. The two-point map leads to a real time discretization of the continuous flow. Therefore, it provides an integrable numerical scheme for integrating the physical flow. We illustrate the construction by a few pictures of the discrete flow calculated in MATLAB.
- PACS
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02.60.Lj Ordinary and partial differential equations; boundary value problems
- MSC
- Subjects
- Dates
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Issue 35 (3 September 2004)
Received 20 April 2004, in final form 9 July 2004
Published 17 August 2004
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Separation of variables and Bäcklund transformations for the symmetric Lagrange top
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