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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 3, Pages 337–346
DOI: https://doi.org/10.4213/tmf705 (Mi tmf705) 		 
Reflectionless sine-Gordon potentials with an infinite spectrum

A. B. Borisov, S. A. Zykov

Institute of Metal Physics, Ural Division of the Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf705
Abstract: For the sine-Gordon $L$-operator, we use dressing chains to construct reflectionless potentials that are self-similar with respect to Darboux transformations. These potentials have an infinite spectrum arranged in a geometric progression. We use numerical methods to show that these potentials have a localized form with modulated tails.
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 3, Pages 264–271
DOI: https://doi.org/10.1007/BF02557320
Bibliographic databases:
Language: Russian
Citation: A. B. Borisov, S. A. Zykov, “Reflectionless sine-Gordon potentials with an infinite spectrum”, TMF, 118:3 (1999), 337–346; Theoret. and Math. Phys., 118:3 (1999), 264–271
Citation in format AMSBIB
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\by A.~B.~Borisov, S.~A.~Zykov
\paper Reflectionless sine-Gordon potentials with an infinite spectrum
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\yr 1999
\vol 118
\issue 3
\pages 337--346
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\crossref{https://doi.org/10.4213/tmf705}
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\zmath{https://zbmath.org/?q=an:0944.35081}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 3
\pages 264--271
\crossref{https://doi.org/10.1007/BF02557320}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000080492800003}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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