Bäcklund transformations

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 arbit...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2016-12, Vol.189 (3), p.1681-1692
Main Author: Zharinov, V. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Differential equations
Mathematical and Computational Physics
Minkowski space
Physics
Physics and Astronomy
Theoretical
Transformations
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577916120011