Integrable Systems, Obtained by Point Fusion from Rational and Elliptic Gaudin Systems

Details Integrable Systems, Obtained by Point Fusion from Rational and Elliptic Gaudin Systems Integrable Systems, Obtained by Point Fusion from Rational and Elliptic Gaudin Systems

2003-11-04

arxiv.org/abs/hep-th/0311027v1

Theor.Math.Phys. 141 (2004) 1361-1380; Teor.Mat.Fiz. 141 (2004) 38-59

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

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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