On nomalized differentials on spectral curves associated to thesinh-Gordon equation
Dynamical Systems
2020-03-23 v1 Mathematical Physics
math.MP
Abstract
The spectral curve associated with the sinh-Gordon equation on the torus is defined interms of the spectrum of the Lax operator appearing in the Lax pair formulation of the equation. If thespectrum is simple, it is an open Riemann surface of infinite genus. In this paper we construct normalizeddifferentials and derive estimates for the location of their zeroes.
Keywords
Cite
@article{arxiv.2003.09194,
title = {On nomalized differentials on spectral curves associated to thesinh-Gordon equation},
author = {Thomas Kappeler and Yannick Widmer},
journal= {arXiv preprint arXiv:2003.09194},
year = {2020}
}
Comments
58 pages, 7 figures