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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
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.
Received: 14.04.2016
Citation:
V. V. Zharinov, “Bäcklund transformations”, TMF, 189:3 (2016), 323–334; Theoret. and Math. Phys., 189:3 (2016), 1681–1692
Linking options:
https://www.mathnet.ru/eng/tmf9209https://doi.org/10.4213/tmf9209 https://www.mathnet.ru/eng/tmf/v189/i3/p323
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Abstract page: | 521 | Full-text PDF : | 134 | References: | 75 | First page: | 44 |
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