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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 78, Pages 184–202 (Mi znsl1915)  
This article is cited in 2 scientific papers (total in 2 papers)

Examples of exactly solvable scattering problems for the parabolic equation of diffraction theory

M. M. Popov
Full-text PDF (920 kB) Citations (2)
Abstract: Examples of exactly solvable scattering problem are considered for equations of Schrodinger type with a potential having the same character of behavior as in the case of the problem of whispering gallery waves in a neighborhood of an inflection point of the boundary. The qualitative behavior of the exact solutions found is investigated, and it is compared with the numerical solution of the aforementioned problems regarding whispering gallery waves.
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 1, Pages 1121–1135
DOI: https://doi.org/10.1007/BF01305295
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: M. M. Popov, “Examples of exactly solvable scattering problems for the parabolic equation of diffraction theory”, Mathematical problems in the theory of wave propagation. Part 9, Zap. Nauchn. Sem. LOMI, 78, "Nauka", Leningrad. Otdel., Leningrad, 1978, 184–202; J. Soviet Math., 22:1 (1983), 1121–1135
Citation in format AMSBIB
\Bibitem{Pop78}
\by M.~M.~Popov
\paper Examples of exactly solvable scattering problems for the parabolic equation of diffraction theory
\inbook Mathematical problems in the theory of wave propagation. Part~9
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 78
\pages 184--202
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1915}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=535900}
\zmath{https://zbmath.org/?q=an:0514.35068|0427.35054}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 1
\pages 1121--1135
\crossref{https://doi.org/10.1007/BF01305295}
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  • https://www.mathnet.ru/eng/znsl/v78/p184
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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