New degeneration of Fay's identity and its application to integrable systems
Mathematical Physics
2015-03-19 v1 Algebraic Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1104.2568,
title = {New degeneration of Fay's identity and its application to integrable systems},
author = {C. Kalla},
journal= {arXiv preprint arXiv:1104.2568},
year = {2015}
}