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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 53, Number 2, Pages 163–180 (Mi tmf4373)  
This article is cited in 20 scientific papers (total in 20 papers)

Application of inverse scattering method to singular solutions of nonlinear equations. I

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov
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Abstract: The Jost solutions and the transition matrix for the Zakharov–Shabat system are constructed in the case of potentials that have a finite number of $x^{-1}$ singularities. The analytic properties of the transition matrix are investigated and scattering data are introduced.
Received: 07.04.1982
English version:
Theoretical and Mathematical Physics, 1982, Volume 53, Issue 2, Pages 1051–1062
DOI: https://doi.org/10.1007/BF01016674
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Application of inverse scattering method to singular solutions of nonlinear equations. I”, TMF, 53:2 (1982), 163–180; Theoret. and Math. Phys., 53:2 (1982), 1051–1062
Citation in format AMSBIB
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\by V.~A.~Arkad'ev, A.~K.~Pogrebkov, M.~K.~Polivanov
\paper Application of inverse scattering method to singular solutions of nonlinear equations.~I
\jour TMF
\yr 1982
\vol 53
\issue 2
\pages 163--180
\mathnet{http://mi.mathnet.ru/tmf4373}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=693271}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 53
\issue 2
\pages 1051--1062
\crossref{https://doi.org/10.1007/BF01016674}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982QX02000001}
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  • https://www.mathnet.ru/eng/tmf/v53/i2/p163
    Cycle of papers
    This publication is cited in the following 20 articles:
    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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    Full-text PDF :134
    References:50
    First page:3
     
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