Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 6, Pages 62–64
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-9 (Mi vmumm4581) 		 
Mechanics

Equivalence of systems of two-dimensional shallow water equations over horizontal and sloping bottoms

A. V. Aksenov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-9
Abstract: A point transformation determining the equivalence of systems of equations of two-dimensional shallow water over horizontal and sloping bottoms is obtained. The symmetries of these systems of equations are found.
Key words: two-dimensional shallow water, equivalence of systems of equations, point transformation, symmetry operator, linearization.
Received: 26.05.2023
English version:
Moscow University Måchanics Bulletin, 2023, Volume 78, Issue 6, Pages 156–158
DOI: https://doi.org/10.3103/S002713302306002X
Bibliographic databases:
Document Type: Article
UDC: 517.9+532.5
Language: Russian
Citation: A. V. Aksenov, “Equivalence of systems of two-dimensional shallow water equations over horizontal and sloping bottoms”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 6, 62–64; Moscow University Måchanics Bulletin, 78:6 (2023), 156–158
Citation in format AMSBIB
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\by A.~V.~Aksenov
\paper Equivalence of systems of two-dimensional shallow water equations over horizontal and sloping bottoms
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 6
\pages 62--64
\mathnet{http://mi.mathnet.ru/vmumm4581}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-6-9}
\elib{https://elibrary.ru/item.asp?id=58422767}
\transl
\jour Moscow University Måchanics Bulletin
\yr 2023
\vol 78
\issue 6
\pages 156--158
\crossref{https://doi.org/10.3103/S002713302306002X}
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