Geodesic
Binary relations, Bäcklund transformations, and wave packet propagation
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 3-22 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: binary relation, related sets, related endomorphisms, related morphisms, related categories, related functors, differential relation, related symmetries, Bäcklund transformation, fuzzy category, wave packet
Mots-clés : dispersion. 
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V. V. Zharinov. Binary relations, Bäcklund transformations, and wave packet propagation. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a0/

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