Integrable Systems, Obtained by Point Fusion from Rational and Elliptic Gaudin Systems
Chernyakov Yu
Abstract
Using the procedure of the marked point fusion, there are obtained integrable systems with poles in the matrix of the Lax operator order higher than one, considered Hamiltonians, symplectic structure and symmetries of these systems. Also, taking the Inozemtsev Limit procedure it was found the Toda-like system having nontrivial commutative relations between the phase space variables.
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