A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation - Lecture Notes in Mathematics 1st ed. 2018 edition

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization.