New degeneration of Fay's identity and its application to integrable   systems
  In this paper we prove a new degenerated version of Fay's trisecant identity. The new identity is applied to construct new algebro-geometric solutions of the multi-component nonlinear Schr\"odinger equation. This approach also provides an independent derivation of known algebro-geometric solutions to the Davey-Stewartson equations. 
C. Kalla
math-ph math.AG math.MP