论文标题

在与thesinh-gordon方程相关的光谱曲线上的提名差异上

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

论文作者

Kappeler, Thomas, Widmer, Yannick

论文摘要

圆环上与sinh-gordon方程相关的光谱曲线定义了在方程式中出现的lax oterator的光谱中的频谱。如果该光谱很简单,则是无限属的开放式riemann表面。在本文中,我们构建了归一化差异,并得出了其零位置的估计。

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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