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Bäcklund transformations

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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.

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Authors and Affiliations

  1. Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    V. V. Zharinov

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  1. V. V. Zharinov
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Correspondence to V. V. Zharinov.

Additional information

This work is supported by the Russian Science Foundation under grant 14-50-00005.

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 189, No. 3, pp. 323–334, December, 2016.

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Zharinov, V.V. Bäcklund transformations. Theor Math Phys 189, 1681–1692 (2016). https://doi.org/10.1134/S0040577916120011

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  • DOI: https://doi.org/10.1134/S0040577916120011

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