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The elliptic Gaudin system with spin

D. Talalaev
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Abstract

The elliptic Gaudin model was obtained as the Hitchin system on an elliptic curve with two fixed points. In the present paper the algebraic-geometrical structure of the system with two fixed points is clarified. We identify this system with poles dynamics of the finite gap solutions of Davey-Stewartson equation. The solutions of this system in terms of theta-functions and the action-angle variables are constructed. We also discuss the geometry of its degenerations.

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D. Talalaev. 2002-01-17. The elliptic Gaudin system with spin. https://arxiv.org/abs/hep-th/0101224

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