Solitary electromagnetic waves in a graphene superlattice under influence of high-frequency electric field

•We derive energy spectrum of graphene superlattice in high-frequency electric field.•The effect of high-frequency field on the solitary electromagnetic field was shown.•The solitary wave area can be regulated by amplitude of high-frequency field.

The electron spectrum of graphene superlattice is shown to be modified under the high-frequency electric field. Using this modified electron spectrum d’Alembert equation is written for the electromagnetic waves propagating in the graphene superlattice. Under certain conditions the d’Alembert equation is shown to take the form of double sine-Gordon equation. The solutions corresponding to the solitary electromagnetic waves are obtained. The shapes of these waves are shown to depend on the amplitude of the high-frequency electric field.