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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 2, Pages 199–213 (Mi tmf1641)  
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Schrödinger equations admitted by auto-Bäcklund transformations uations

R. A. Mishaev, E. Sh. Teplitsky

Tbilisi Ivane Javakhishvili State University
Full-text PDF (931 kB) Citations (2)
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Abstract: A generalized formulation of Bäcklund transformations that carry a nonlinear Schrödinger equation into itself is considered, and a class of potentials that satisfy these transformations is found. A set of operators that simplify the analysis of the Lamb equations is introduced.
Received: 20.05.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 2, Pages 948–958
DOI: https://doi.org/10.1007/BF01016757
Bibliographic databases:
Language: Russian
Citation: R. A. Mishaev, E. Sh. Teplitsky, “Nonlinear Schrödinger equations admitted by auto-Bäcklund transformations uations”, TMF, 100:2 (1994), 199–213; Theoret. and Math. Phys., 100:2 (1994), 948–958
Citation in format AMSBIB
\Bibitem{MisTep94}
\by R.~A.~Mishaev, E.~Sh.~Teplitsky
\paper Nonlinear Schr\"odinger equations admitted by auto-B\"acklund transformations
uations
\jour TMF
\yr 1994
\vol 100
\issue 2
\pages 199--213
\mathnet{http://mi.mathnet.ru/tmf1641}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1311193}
\zmath{https://zbmath.org/?q=an:0875.35112}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 2
\pages 948--958
\crossref{https://doi.org/10.1007/BF01016757}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QH51400004}
Linking options:
  • https://www.mathnet.ru/eng/tmf1641
  • https://www.mathnet.ru/eng/tmf/v100/i2/p199
    • This publication is cited in the following 2 articles:
    1. Yasumasa Kajinaga, Miki Wadati, “A New Derivation of the Bäcklund Transformation for the Volterra Lattice”, J. Phys. Soc. Jpn., 67:7 (1998), 2237  crossref
    2. R. A. Mishaev, “Auto-Bäcklund transformations for the nonlinear Schrödinger equation with variable coefficients”, Theoret. and Math. Phys., 102:2 (1995), 144–152  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:378
    Full-text PDF :114
    References:59
    First page:1
     
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