Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1989, Volume 34, Pages 3–83 (Mi intd112)  
This article is cited in 142 scientific papers (total in 142 papers)

Nonlocal symmetries. Heuristic approach

I. Sh. Akhatov, R. K. Gazizov, N. Kh. Ibragimov
Full-text PDF (3363 kB) Citations (142)
Abstract: A constructive method for constructing nonlocal symmetries of differential equations based on the Lie–Bäcklund theory of groups is developed. The concept of quasilocal symmetries is introduced. With the help of this method nonlocal symmetries of differential equations of the type of nonlinear thermal conductivity and gas dynamics are studied.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 1, Pages 1401–1450
DOI: https://doi.org/10.1007/BF01097533
Bibliographic databases:
UDC: 517.958+517.957
Language: Russian
Citation: I. Sh. Akhatov, R. K. Gazizov, N. Kh. Ibragimov, “Nonlocal symmetries. Heuristic approach”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34, VINITI, Moscow, 1989, 3–83; J. Soviet Math., 55:1 (1991), 1401–1450
Citation in format AMSBIB
\Bibitem{AkhGazIbr89}
\by I.~Sh.~Akhatov, R.~K.~Gazizov, N.~Kh.~Ibragimov
\paper Nonlocal symmetries. Heuristic approach
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1989
\vol 34
\pages 3--83
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd112}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1012324}
\zmath{https://zbmath.org/?q=an:0760.35002|0722.35004}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 1
\pages 1401--1450
\crossref{https://doi.org/10.1007/BF01097533}
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    • This publication is cited in the following 142 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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