Geodesic
Binary relations, B\"acklund transformations, and wave packet propagation
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 3-22

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2020_205_1_a0,
     author = {V. V. Zharinov},
     title = {Binary relations, {B\"acklund} transformations, and wave packet propagation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--22},
     publisher = {mathdoc},
     volume = {205},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a0/}
}
TY  - JOUR
AU  - V. V. Zharinov
TI  - Binary relations, B\"acklund transformations, and wave packet propagation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2020
SP  - 3
EP  - 22
VL  - 205
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a0/
LA  - ru
ID  - TMF_2020_205_1_a0
ER  - 
%0 Journal Article
%A V. V. Zharinov
%T Binary relations, B\"acklund transformations, and wave packet propagation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2020
%P 3-22
%V 205
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a0/
%G ru
%F TMF_2020_205_1_a0
V. V. Zharinov. Binary relations, B\"acklund 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/