Bäcklund transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 3, pp. 323-334
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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, Bäcklund transformation, gauge field, curvature tensor, covariant derivative, Yang–Mills field.
Mots-clés : constraint
Mots-clés : constraint
@article{TMF_2016_189_3_a0,
author = {V. V. Zharinov},
title = {B\"acklund transformations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--334},
year = {2016},
volume = {189},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a0/}
}
V. V. Zharinov. Bäcklund transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a0/