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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 209, Pages 150–167 (Mi znsl5849)  
This article is cited in 1 scientific paper (total in 1 paper)

Inverse scattering transform for Zakharov–Manakov's system

V. D. Lipovsky, A. V. Shirokov

Saint Petersburg State University
Full-text PDF (618 kB) Citations (1)
Abstract: The inverse scattering transform method for dimensional reduced selfduail equations of Yang-Mills fields (Zakharov–Manakov's system) is studied. The resolvent approach for the auxiliary linear problem is developed. Reductions for the scattering data are obtained. Dispersion relations and trace identities are presented. Bibliography: 4 titles.
Received: 28.07.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 1, Pages 93–105
DOI: https://doi.org/10.1007/BF02398464
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. D. Lipovsky, A. V. Shirokov, “Inverse scattering transform for Zakharov–Manakov's system”, Questions of quantum field theory and statistical physics. Part 12, Zap. Nauchn. Sem. POMI, 209, Nauka, St. Petersburg, 1994, 150–167; J. Math. Sci., 83:1 (1997), 93–105
Citation in format AMSBIB
\Bibitem{LipShi94}
\by V.~D.~Lipovsky, A.~V.~Shirokov
\paper Inverse scattering transform for Zakharov--Manakov's system
\inbook Questions of quantum field theory and statistical physics. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 209
\pages 150--167
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5849}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1328639}
\zmath{https://zbmath.org/?q=an:0849.35095|0868.35082}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 1
\pages 93--105
\crossref{https://doi.org/10.1007/BF02398464}
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    • 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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