Geodesic
Invertible changes of variables generated by Bäcklund transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 3, pp. 368-375 
R. I. Yamilov. Invertible changes of variables generated by Bäcklund transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 3, pp. 368-375. http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a2/
@article{TMF_1990_85_3_a2,
     author = {R. I. Yamilov},
     title = {Invertible changes of~variables generated {by~B\"acklund} transformations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {368--375},
     year = {1990},
     volume = {85},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a2/}
}
TY  - JOUR
AU  - R. I. Yamilov
TI  - Invertible changes of variables generated by Bäcklund transformations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 368
EP  - 375
VL  - 85
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a2/
LA  - ru
ID  - TMF_1990_85_3_a2
ER  - 
%0 Journal Article
%A R. I. Yamilov
%T Invertible changes of variables generated by Bäcklund transformations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 368-375
%V 85
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1990_85_3_a2/
%G ru
%F TMF_1990_85_3_a2

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

In the classification of partial differential equations, one cannot avoid the use of invertible changes of variables, which include not only the long-known point and contact transformations but also, for example, so-called symmetric and generalized contact transformations (reviewed by Mikhailov, Shabat, and Yamilov [1]). The present paper considers a further class of invertible changes of variables.

[1] Mikhailov A. V., Shabat A. B., Yamilov R. I., UMN, 42:4 (1987), 3–53 | MR

[2] Weis J., J. Math. Phys., 28:9 (1987), 2025–2039 | DOI | MR | Zbl

[3] Svinolupov S. I., Sokolov V. V., Yamilov R. I., DAN SSSR, 271:4 (1983), 802–805 | MR | Zbl

[4] Shabat A. B., Yamilov R. I., Algebra i analiz, 2:2 (1990), 183–208 | MR | Zbl

[5] Svinolupov S. I., Sokolov V. V., Funkts. analiz i ego prilozh., 16:4 (1982), 86–87 | MR | Zbl

[6] Yamilov R. I., UMN, 38:6 (1983), 155–156

[7] Degasperis A., Santini P. M., Ablowitz M. J., J. Math. Phys., 26:10 (1985), 2469–2472 | DOI | MR | Zbl

[8] Magadeev B. A., TMF, 72:2 (1987), 313–317 | MR | Zbl