Possibility of the propagation of an electromagnetic soliton in a two-dimensional superlattice

A two-dimensional electron structure in a system with a periodic potential, i.e., a two-dimensional superlattice, is investigated. An equation is derived describing the propagation of an electromagnetic wave in a two-dimensional superlattice. It is shown that an electromagnetic soliton can propagate in a two-dimensional superlattice, where it is detectable experimentally because it can induce a pulsed entrainment current. The influence of an elliptically polarized (specified) electromagnetic wave on the form of the soliton is also investigated. It is shown that a solitary wave can be amplified under certain conditions.