Geodesic
Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra
Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 33-54.

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

The problem of enumerating equations $u_{xy}=a(u,u_x,u_y)$ with an infinite Lie–Backlund algebra containing functional parameters is considered. 
@article{IM2_1995_45_1_a1,
     author = {A. V. Zhiber},
     title = {Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra},
     journal = {Izvestiya. Mathematics },
     pages = {33--54},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a1/}
}
TY  - JOUR
AU  - A. V. Zhiber
TI  - Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra
JO  - Izvestiya. Mathematics 
PY  - 1995
SP  - 33
EP  - 54
VL  - 45
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a1/
LA  - en
ID  - IM2_1995_45_1_a1
ER  - 
%0 Journal Article
%A A. V. Zhiber
%T Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra
%J Izvestiya. Mathematics 
%D 1995
%P 33-54
%V 45
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a1/
%G en
%F IM2_1995_45_1_a1
A. V. Zhiber. Quasilinear hyperbolic equations with an infinite-dimensional symmetry algebra. Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 33-54. http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a1/

[1] A. V. Zhiber, N. Kh. Ibragimov, A. B. Shabat, “Uravneniya tipa Liuvillya”, DAN SSSR, 249:1 (1979), 26–29 | MR | Zbl

[2] A. B. Shabat, R. I. Yamilov, Eksponentsialnye sistemy tipa 1 i matritsy Kartana, Preprint, BFAN SSSR. OFM, Ufa, 1981 | MR

[3] A. N. Leznov, A. B. Shabat, “Usloviya obryva ryadov teorii vozmuschenii”, Integriruemye sistemy, BFAN SSSR, 1982, 34–44

[4] A. V. Zhiber, A. B. Shabat, “Uravneniya Kleina–Gordona s netrivialnoi gruppoi”, DAN SSSR, 247:5 (1979), 1103–1107 | MR

[5] M. Yu. Zvyagin, “Uravneniya vtorogo poryadka, privodimye preobrazovaniem Beklunda k $z_{xy}=0$”, DAN SSSR, 316:1 (1991), 36–40 | MR | Zbl

[6] L. Hlavaty, “On the Painleve classification of partial differential equations”, J. of Math. Phys., 31:3 (1990), 605–609 | DOI | MR | Zbl

[7] L. Mauro, “Rabelo and Keti Tenenblat. On equation of type $u_{xt}=F(u,u_x)$ which describe pseudospherical surfaces”, J. of Math. Phys, 31:6 (1990), 1400–1407 | DOI | MR | Zbl

[8] A. V. Zhiber, A. B. Shabat, “Sistemy uravnenii $u_x=p(u,\upsilon)$, $\upsilon_y=q(u,\upsilon)$, obladayuschie simmetriyami”, DAN SSSR, 277:1 (1984), 29–33 | MR | Zbl