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Teoreticheskaya i Matematicheskaya Fizika, 2025, Volume 223, Number 2, Pages 261–278
DOI: https://doi.org/10.4213/tmf10897 (Mi tmf10897) 		 
Dimensional reduction of nonlinear differential equations on homogeneous spaces

O. L. Kurnyavkoa, I. V. Shirokovb

a Omsk Institute of Water Transport, Omsk, Russia
b Omsk State Technical University, Omsk, Russia
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DOI: https://doi.org/10.4213/tmf10897
Abstract: We consider the problem of dimensional reduction of nonlinear differential equations on homogeneous spaces that have no symmetries in general. The proposed method allows passing to a differential equation with fewer independent variables and, in particular, to ordinary differential equations.
Keywords: Lie algebra, Lie group, homogeneous spaces, morphism of homogeneous spaces, reduction.
Received: 27.01.2025
Revised: 05.03.2025
Published: 01.05.2025
English version:
Theoretical and Mathematical Physics, 2025, Volume 223, Issue 2, Pages 755–769
DOI: https://doi.org/10.1134/S0040577925050046
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. L. Kurnyavko, I. V. Shirokov, “Dimensional reduction of nonlinear differential equations on homogeneous spaces”, TMF, 223:2 (2025), 261–278; Theoret. and Math. Phys., 223:2 (2025), 755–769
Citation in format AMSBIB
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\by O.~L.~Kurnyavko, I.~V.~Shirokov
\paper Dimensional reduction of nonlinear differential equations on homogeneous spaces
\jour TMF
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\vol 223
\issue 2
\pages 261--278
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\crossref{https://doi.org/10.4213/tmf10897}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2025TMP...223..755K}
\transl
\jour Theoret. and Math. Phys.
\yr 2025
\vol 223
\issue 2
\pages 755--769
\crossref{https://doi.org/10.1134/S0040577925050046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105006433029}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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