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