The quasienergy spectrum of graphene superlattice under high-frequency electromagnetic radiation was found. The d’Alembert equation was shown to take the form of double sine-Gordon equation under the certain conditions. The solutions corresponding to the solitary electromagnetic waves were derived. The shapes and areas of these waves depend on the amplitude of the high-frequency field.
73.50.Fq High-field and nonlinear effects
$^1$Volgograd State Socio-Pedagogical University, Physical Laboratory of Low-Dimensional Systems. Volgograd 400066, Russia.
$^2$Volgograd State Technical University. Volgograd 400005, Russia.