Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2018, Volume 14, Number 4, Pages 452–509
DOI: https://doi.org/10.15407/mag14.04.452 (Mi jmag707) 		 
This article is cited in 2 scientific papers (total 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
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DOI: https://doi.org/10.15407/mag14.04.452
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.
Received: 15.02.2018
Document Type: Article
MSC: 37K10, 35Q55
Language: English
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}
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