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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 317, Pages 94–104 (Mi znsl716)  
This article is cited in 5 scientific papers (total in 5 papers)

Darboux transformation for the nonstationary Schrödinger equation

E. Sh. Gutshabash

V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (184 kB) Citations (5)
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Abstract: A Lax representation for the nonstationary Schrödinger equation with rather arbitrary potential is proposed. Some examples of the construction of exact solutions are given by means of Darboux transformation method.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 1, Pages 3580–3585
DOI: https://doi.org/10.1007/s10958-006-0183-x
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. Sh. Gutshabash, “Darboux transformation for the nonstationary Schrödinger equation”, Questions of quantum field theory and statistical physics. Part 18, Zap. Nauchn. Sem. POMI, 317, POMI, St. Petersburg, 2004, 94–104; J. Math. Sci. (N. Y.), 136:1 (2006), 3580–3585
Citation in format AMSBIB
\Bibitem{Gut04}
\by E.~Sh.~Gutshabash
\paper Darboux transformation for the nonstationary Schr\"odinger equation
\inbook Questions of quantum field theory and statistical physics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 317
\pages 94--104
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl716}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120829}
\zmath{https://zbmath.org/?q=an:1094.37037}
\elib{https://elibrary.ru/item.asp?id=9129822}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 1
\pages 3580--3585
\crossref{https://doi.org/10.1007/s10958-006-0183-x}
\elib{https://elibrary.ru/item.asp?id=13508038}
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  • https://www.mathnet.ru/eng/znsl/v317/p94
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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