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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 226, Pages 49–71 (Mi tm528)  
This article is cited in 10 scientific papers (total in 10 papers)

Bäcklund and Darboux Transformations for the Nonstationary Schrödinger Equation

M. Boitia, F. Pempinellia, A. K. Pogrebkovb, B. Prinaria

a Lecce University
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (2224 kB) Citations (10)
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Abstract: Potentials of the nonstationary Schrödinger operator constructed by means of $n$ recursive Bäcklund transformations are studied in detail. The corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties. Generated transformations of the spectral data are derived.
Received in April 1999
Bibliographic databases:
Document Type: Article
UDC: 501
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Bäcklund and Darboux Transformations for the Nonstationary Schrödinger Equation”, Mathematical physics. Problems of quantum field theory, Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev, Trudy Mat. Inst. Steklova, 226, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 49–71; Proc. Steklov Inst. Math., 226 (1999), 42–62
Citation in format AMSBIB
\Bibitem{BoiPemPog99}
\by M.~Boiti, F.~Pempinelli, A.~K.~Pogrebkov, B.~Prinari
\paper B\"acklund and Darboux Transformations for the Nonstationary Schr\"odinger Equation
\inbook Mathematical physics. Problems of quantum field theory
\bookinfo Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 226
\pages 49--71
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm528}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782552}
\zmath{https://zbmath.org/?q=an:1056.37511}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 226
\pages 42--62
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    • This publication is cited in the following 10 articles:
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