Geodesic
Integrable Systems Obtained by Puncture Fusion from Rational and Elliptic Gaudin Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 1, pp. 38-59 Cet article a éte moissonné depuis la source Math-Net.Ru

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Using the procedure for puncture fusion, we obtain new integrable systems with poles of orders higher than one in the Lax operator matrix and consider the Hamiltonians, symplectic structure, and symmetries of these systems. Using the Inozemtsev limit procedure, we find a Toda-like system in the elliptic case having nontrivial commutation relations between the phase-space variables.
Keywords: integrable systems, Hitchin systems, Lax operator, rational Gaudin models, elliptic Gaudin models, Inozemtsev limit, puncture fusion. 
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     title = {Integrable {Systems} {Obtained} by {Puncture} {Fusion} from {Rational} and {Elliptic} {Gaudin} {Systems}},
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Yu. B. Chernyakov. Integrable Systems Obtained by Puncture Fusion from Rational and Elliptic Gaudin Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 1, pp. 38-59. http://geodesic.mathdoc.fr/item/TMF_2004_141_1_a2/

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