Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 170-175
Citer cet article
A. B. Shabat. On the Laplace–Darboux theory of transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 170-175. http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a12/
@article{TMF_1995_103_1_a12,
author = {A. B. Shabat},
title = {On the {Laplace{\textendash}Darboux} theory of transformations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {170--175},
year = {1995},
volume = {103},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a12/}
}
TY - JOUR
AU - A. B. Shabat
TI - On the Laplace–Darboux theory of transformations
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1995
SP - 170
EP - 175
VL - 103
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a12/
LA - ru
ID - TMF_1995_103_1_a12
ER -
%0 Journal Article
%A A. B. Shabat
%T On the Laplace–Darboux theory of transformations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 170-175
%V 103
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1995_103_1_a12/
%G ru
%F TMF_1995_103_1_a12
In the framework of the classical Laplace–Darboux theory the formula of the fractional-rational transformations of the solutions of the linear second order partial differential equation with the two independent variables is established. The one-dimensional reduction discussed briefly.