Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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 Zh. Mat. Fiz. Anal. Geom., 2018, Volume 14, Number 4, Pages 452–509 (Mi jmag707)

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.

 Funding Agency Grant Number Swiss National Science Foundation Both authors were supported by the Swiss National Science Foundation.

DOI: https://doi.org/10.15407/mag14.04.452

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MSC: 37K10, 35Q55
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Citation: Thomas Kappeler, Yannick Widmer, “On spectral properties of the $L$ operator in the Lax pair of the sine-Gordon equation”, Zh. Mat. Fiz. Anal. Geom., 14:4 (2018), 452–509

Citation in format AMSBIB
\Bibitem{KapWid18} \by Thomas~Kappeler, Yannick~Widmer \paper On spectral properties of the $L$ operator in the Lax pair of the sine-Gordon equation \jour Zh. Mat. Fiz. Anal. Geom. \yr 2018 \vol 14 \issue 4 \pages 452--509 \mathnet{http://mi.mathnet.ru/jmag707} \crossref{https://doi.org/10.15407/mag14.04.452}