Thomas Kappeler, Yannick Widmer, “On spectral properties of the <nobr>$L$</nobr> operator in the Lax pair of the sine-Gordon equation”, Zh. Mat. Fiz. Anal. Geom., 2018, Volume 14, Number 4,Pages <nobr>452

This article is cited in 2 papers

On spectral properties of the $L$ operator in the Lax pair of the sine-Gordon equation

Thomas Kappeler, Yannick Widmer

Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland

Abstract: We analyze the periodic spectrum of the $L$ operator in the Lax pair of the sine-Gordon equation in terms of the regularity of the potential.

Key words and phrases: sine-Gordon equation, sinh-Gordon equation, Lax pair, decay properties of gap lengths.

MSC: 37K10, 35Q55

Received: 15.02.2018

Language: English

DOI: 10.15407/mag14.04.452