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arXiv · 2003.09194

On nomalized differentials on spectral curves associated to thesinh-Gordon equation

Thomas Kappeler·Yannick Widmer
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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.

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Thomas Kappeler, Yannick Widmer. 2020-03-20. On nomalized differentials on spectral curves associated to thesinh-Gordon equation. https://arxiv.org/abs/2003.09194

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