This article is cited in 21 papers

Hyperbolic equations with third-order symmetries

A. G. Meshkov^a, V. V. Sokolov<sup>b

a</sup> Orel State Technical University, Orel, Russia
^b Landau Institute for Theoretical Physics, RAS, Moscow, Russia

Abstract: 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, sine-Gordon type equation, Liouville-type equation.

Received: 05.07.2010

DOI: 10.4213/tmf6595

 English version: Theoretical and Mathematical Physics, 2011, 166:1, 43–57

Bibliographic databases:

• 
• 
• 
•