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Binary relations, Bäcklund transformations, and wave packet propagation

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Abstract

We propose a mathematical apparatus based on binary relations that expands the possibility of traditional analysis applied to problems in mathematical and theoretical physics. We illustrate the general constructions with examples with an algebraic description of Bäcklund transformations of nonlinear systems of partial differential equations and the dynamics of wave packet propagation.

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Authors and Affiliations

  1. Steklov 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.

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Zharinov, V.V. Binary relations, Bäcklund transformations, and wave packet propagation. Theor Math Phys 205, 1245–1263 (2020). https://doi.org/10.1134/S0040577920100013

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  • DOI: https://doi.org/10.1134/S0040577920100013

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