Stationary pulses in two cubic–quintic Ginzburg–Landau equations coupled with a cross phase modulation term

Abstract

Existence of stationary pulses are investigated in system modelled by two cubic–quintic Ginzburg–Landau equations coupled with a cross phase modulation term. Only for the symmetric case, that is, when the two components are equal, stationary pulses are obtained and several solutions coexist simultaneously. Direct numerical simulations were run in order to study the stability and the dynamics of the stationary pulses.