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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 3, Pages 323–334
DOI: https://doi.org/10.4213/tmf9209 (Mi tmf9209) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Bäcklund transformations

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (444 kB) Citations (19)
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DOI: https://doi.org/10.4213/tmf9209
Abstract: We describe a Bäcklund transformation, i.e., a differentially related pair of differential equations, in a coordinate manner appropriate for calculations and applications. We present several known explanatory examples, including Bäcklund transformations for gauge fields in a Minkowski space of arbitrary dimension.
Keywords: total derivative, partial differential equation, differential relation, constraint, Bäcklund transformation, gauge field, curvature tensor, covariant derivative, Yang–Mills field.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 14.04.2016
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 3, Pages 1681–1692
DOI: https://doi.org/10.1134/S0040577916120011
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Bäcklund transformations”, TMF, 189:3 (2016), 323–334; Theoret. and Math. Phys., 189:3 (2016), 1681–1692
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v189/i3/p323
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:75
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