Hyperbolic equations with third-order symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 51-67

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

We present a complete list of nonlinear one-field hyperbolic equations with integrable third-order $x$ and $y$ symmetries. The list includes both equations of the sine-Gordon type and equations linearizable by differential substitutions.
Keywords: higher symmetry
Mots-clés : sine-Gordon type equation, Liouville-type equation.
@article{TMF_2011_166_1_a3,
     author = {A. G. Meshkov and V. V. Sokolov},
     title = {Hyperbolic equations with third-order symmetries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {51--67},
     publisher = {mathdoc},
     volume = {166},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a3/}
}
TY  - JOUR
AU  - A. G. Meshkov
AU  - V. V. Sokolov
TI  - Hyperbolic equations with third-order symmetries
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2011
SP  - 51
EP  - 67
VL  - 166
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a3/
LA  - ru
ID  - TMF_2011_166_1_a3
ER  - 
%0 Journal Article
%A A. G. Meshkov
%A V. V. Sokolov
%T Hyperbolic equations with third-order symmetries
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2011
%P 51-67
%V 166
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a3/
%G ru
%F TMF_2011_166_1_a3
A. G. Meshkov; V. V. Sokolov. Hyperbolic equations with third-order symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 51-67. http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a3/