RUS  ENG
Full version
JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2002 Volume 130, Number 3, Pages 426–441 (Mi tmf310)

This article is cited in 3 papers

The Elliptic Gaudin System with Spin

D. V. Talalaev

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Abstract: We study the algebraic-geometric structure of the elliptic Gaudin two-puncture model previously obtained. We identify this system with the system of pole dynamics of finite-gap solutions of the matrix Davey–Stewartson equation. We also obtain the action-angle variables and construct explicit solutions of this system in terms of theta functions. We discuss the geometry of degenerations of this system.

Received: 29.08.2001

DOI: 10.4213/tmf310


 English version:
Theoretical and Mathematical Physics, 2002, 130:3, 361–374

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024