2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50526The 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.17 pages in LatexHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext