Influence of carbon nanotubes on the formation of shock electromagnetic waves

Abstract

Based on the shortened Maxwell equations, for a nonlinear medium containing carbon nanotube of the semiconductor type, the formation of shock waves is studied. A classical nonlinear medium with cubic nonlinearity and dispersion is considered. It has been established that the introduction of carbon nanotubes stabilizes an ultrashort optical pulse and prevents the formation of shock waves. However, the pulse remains localized.