Geodesic
On the Laplace–Darboux theory of transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 1, pp. 170-175 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@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
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/

[1] Darboux G., Theorie generate des surfaces, Chelsea, New York, 1972 | MR | Zbl

[2] Adler V.E., Funkts. analiz i ego prilozh., 27:2 (1993), 79–82 | MR | Zbl

[3] Veselo A.P., Shabash A.B., Funkts. analiz i ego prilozh., 27:2 (1993), 1–21 | MR | Zbl