Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 364-366
Citer cet article
V. V. Tsegel'nik. On a relationship between solutions of the third Painlevé equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 3, pp. 364-366. http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a4/
@article{TMF_1995_102_3_a4,
author = {V. V. Tsegel'nik},
title = {On a~relationship between solutions of the third {Painlev\'e} equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {364--366},
year = {1995},
volume = {102},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a4/}
}
TY - JOUR
AU - V. V. Tsegel'nik
TI - On a relationship between solutions of the third Painlevé equation
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1995
SP - 364
EP - 366
VL - 102
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a4/
LA - ru
ID - TMF_1995_102_3_a4
ER -
%0 Journal Article
%A V. V. Tsegel'nik
%T On a relationship between solutions of the third Painlevé equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 364-366
%V 102
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1995_102_3_a4/
%G ru
%F TMF_1995_102_3_a4
The direct and inverse Bäcklund transformations for the third Painlevé equation in the case $\gamma \delta \ne 0$ is used to obtain a nonlinear functional relationship connecting the solutions of this equation for different values of the parameters that occur in it.
