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Zapiski Nauchnykh Seminarov LOMI, 1985, Volume 146, Pages 137–146 (Mi znsl5331)  

This article is cited in 4 scientific papers (total in 4 papers)

Discrete Zakharov–Shabat systems and integrable equations

I. T. Habibullin
Full-text PDF (435 kB) Citations (4)
Abstract: The method of dressing transformations is generalized to the case of discrete spectral problems. As a result, new differentialdifference analogs of the nonlinear integrable equations (e.g. the sine-Gordon equation, the vector nonlinear Schroedinger equation and the $N$-wave system) are obtained. Bibl. – 11.
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: I. T. Habibullin, “Discrete Zakharov–Shabat systems and integrable equations”, Differential geometry, Lie groups and mechanics. Part VII, Zap. Nauchn. Sem. LOMI, 146, "Nauka", Leningrad. Otdel., Leningrad, 1985, 137–146
Citation in format AMSBIB
\Bibitem{Hab85}
\by I.~T.~Habibullin
\paper Discrete Zakharov--Shabat systems and integrable equations
\inbook Differential geometry, Lie groups and mechanics. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1985
\vol 146
\pages 137--146
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5331}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=836553}
\zmath{https://zbmath.org/?q=an:0606.35056}
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  • https://www.mathnet.ru/eng/znsl5331
  • https://www.mathnet.ru/eng/znsl/v146/p137
  • 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
    Записки научных семинаров ПОМИ
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