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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 100–124 (Mi znsl5198)  
This article is cited in 4 scientific papers (total in 4 papers)

Moutard transformation and its application to some physical problems. I. The case of two independent variables

E. Sh. Gutshabash

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (320 kB) Citations (4)
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Abstract: A general scheme of application of Moutard transformation to the partial differential of the second order with two independent variables is proposed. The realization of this scheme is given for the nonstationary Shrödinger equation and Fokker–Planck equation as well as wave equation and Helmholts equation.
Key words and phrases: Moutar transformation, Darboux transformation, functional-differential equation, nonstationary Schrödinger equation, Fokker–Planck equation, Helmholz equation.
Received: 15.12.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 1, Pages 57–69
DOI: https://doi.org/10.1007/s10958-013-1373-y
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. Sh. Gutshabash, “Moutard transformation and its application to some physical problems. I. The case of two independent variables”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 100–124; J. Math. Sci. (N. Y.), 192:1 (2013), 57–69
Citation in format AMSBIB
\Bibitem{Gut12}
\by E.~Sh.~Gutshabash
\paper Moutard transformation and its application to some physical problems.~I. The case of two independent variables
\inbook Questions of quantum field theory and statistical physics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 398
\pages 100--124
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2944991}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 1
\pages 57--69
\crossref{https://doi.org/10.1007/s10958-013-1373-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884990354}
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  • https://www.mathnet.ru/eng/znsl/v398/p100
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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