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- W2004201530 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), aswell as the structure of rank r coadjoint orbits in so(m)×so(m). We show thatthe restriction of these systems onto some subvarieties of the orbits writtenin new matrix variables admits a new r × r matrix Lax representation in ageneralized Gaudin form with a rational spectral parameter.In the case of rank 2 orbits a corresponding 2 × 2 Lax pair for the reducedsystems enables us to perform a separation of variables." @default.
- W2004201530 created "2016-06-24" @default.
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- W2004201530 date "2003-01-01" @default.
- W2004201530 modified "2023-09-26" @default.
- W2004201530 title "STEKLOV–LYAPUNOV TYPE SYSTEMS" @default.
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- W2004201530 doi "https://doi.org/10.1142/9789812795403_0008" @default.
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