Geodesic
B\"acklund 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 
@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},
     publisher = {mathdoc},
     volume = {189},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a0/}
}
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V. V. Zharinov. B\"acklund transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a0/