Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
Linking options:
  • https://www.mathnet.ru/eng/tm528
  • https://www.mathnet.ru/eng/tm/v226/p49
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Òðóäû Ìàòåìàòè÷åñêîãî èíñòèòóòà èìåíè Â. À. Ñòåêëîâà Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:479
    Full-text PDF :156
    References:63
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024