Possibility of propagation of dissipative solitons in ac-driven superlattice

Abstract

The renormalization equation for nonlinear electromagnetic wave propagating in ac-driven superlattice with dissipation has been derived by averaging method. The expression for dissipative soliton potential is obtained. The values of high-frequency field amplitudes allowing for two types of dissipative soliton are found. The shape and type of such solitons are shown to be regulated by changing the highfrequency field amplitude. The chaotic behavior of electrons in superlattice is investigated by the Melnikov method.

Dynamic chaotisation of the electronic subsystem in a graphene superlattice subjected to the electromagnetic radiation

“…The stabilisation of an EM soliton shape can be achieved by using a direct current [36] or HF EM radiation [37][38][39]. An HF field has a significant effect on the dynamics of the electron subsystem.…”

“…An HF field has a significant effect on the dynamics of the electron subsystem. In particular, this field can lead to such effects as the dynamic modification of the SL electron spectrum [12,37,40], dynamic chaos in the SL [38,39,41] etc. In [32], to observe the solitary EM waves (2π-pulses) the GSL was proposed to be used.…”