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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/2763

Title: Steklov-Lyapunov type systems
Authors: Bolsinov, Alexey V.
Fedorov, Yu.
Issue Date: 2007
Abstract: In this paper we describe integrable generalizations of the classical Steklov– Lyapunov systems, which are defined on a certain product so(m) × so(m), as well as the structure of rank r coadjoint orbits in so(m)×so(m). We show that the restriction of these systems onto some subvarieties of the orbits written in new matrix variables admits a new r × r matrix Lax representation in a generalized Gaudin form with a rational spectral parameter. In the case of rank 2 orbits a corresponding 2×2 La x pair for the reduced systems enables us to perform a separation of variables.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/2763
Appears in Collections:Pre-prints (Maths)

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