Regular Article

Nonlinear electromagnetic waves in semi-Dirac nanostructures with superlattice

¹ Volgograd State Socio-Pedagogical University, Physical Laboratory of Low-Dimensional Systems, V.I. Lenin Avenue, 27, Volgograd 400066, Russia
² Volgograd State Technical University, V.I. Lenin Avenue, 28, Volgograd 400005, Russia

^a e-mail: eikuhar@yandex.ru

Received: 27 November 2019
Received in final form: 19 February 2020
Published online: 1 April 2020

Abstract

The possibilities of formation and detection of the electromagnetic soliton-like wave in superlattices based on semi-Dirac crystals have been considered. The field of soliton-like wave obeys the d’Alembert equation which takes into account the current induced in superlattice by this wave. Resulting equation has the form of nonlinear Klein-Gordon equation. Some approximate methods of finding of kink solutions of obtained equation have been reviewed. The dependence of kinks parameters on the structure parameters of material has been analyzed. The new periodical solutions of considered equation have been found. The dependence of period of nonlinear electromagnetic wave which propagates in superlattice on the nonlinearity parameter has been studied. The phenomena of spontaneous doubling of frequency and spontaneous rectification of nonlinear wave in superlattice have been predicted.