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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 494, Pages 5–22 (Mi znsl6982)  
This article is cited in 1 scientific paper (total in 1 paper)

Backlund transformation for the nonlinear Schrodinger equation

N. M. Belousov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: In the note we give a new method of derivation of the Backlund transformation for the nonlinear Schrodinger equation. We discuss conserved quantities related to this transformation, and how it can be connected with the inverse scattering method. Besides, we construct a quantum analog of the Backlund transformation defined by the Baxter's $Q$-operator.
Key words and phrases: nonlinear Schrodinger equation, Backlund transformation, symmetries, integrability, inverse scattering method, Baxter Q-operatorlinear operator defines.
Funding agency Grant number
Russian Science Foundation 19-11-00131
Received: 12.10.2020
Document Type: Article
Language: Russian
Citation: N. M. Belousov, “Backlund transformation for the nonlinear Schrodinger equation”, Questions of quantum field theory and statistical physics. Part 27, Zap. Nauchn. Sem. POMI, 494, POMI, St. Petersburg, 2020, 5–22
Citation in format AMSBIB
\Bibitem{Bel20}
\by N.~M.~Belousov
\paper Backlund transformation for the nonlinear Schrodinger equation
\inbook Questions of quantum field theory and statistical physics. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 494
\pages 5--22
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6982}
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  • https://www.mathnet.ru/eng/znsl6982
  • https://www.mathnet.ru/eng/znsl/v494/p5
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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