Darboux coordinates for periodic solutions of the sinh-Gordon equation

Markus Knopf

doi:10.1016/j.geomphys.2016.07.004

paper

Darboux coordinates for periodic solutions of the sinh-Gordon equation

arXiv:1511.09100 · doi:10.1016/j.geomphys.2016.07.004

Abstract

We study the space of periodic solutions of the elliptic $sinh$ -Gordon equation by means of spectral data consisting of a Riemann surface $Y$ and a divisor $D$ and prove the existence of certain Darboux coordinates.

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Spectral data for simply-periodic solutions of the sinh-Gordon equation