Dynamical r-matrices for some nonlinear oscillators

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Abstract

Dynamical r-matrices for the Rosochatius and Wojciechowski systems are found. They appear as a product of reduction from the constant r-matrices for the coupled Neumann and the Gamier system, respectively. They serve also as alternative r-matrices for the Neumann system and the anharmonic oscillator (respectively), for which the constant r-matrices are known.

Original languageEnglish
Article number005
Pages (from-to)L85-L90
JournalJournal of Physics A: Mathematical and General
Volume28
Issue number3
DOIs
StatePublished - 1995
Externally publishedYes

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