Modulational instability in two cubic–quintic Ginzburg–Landau equations coupled with a cross phase modulation term

Modulation instability is investigated in two cubic–quintic Ginzburg–Landau equations coupled with a cross phase modulation type term. After carrying out a stability analysis an expression for gain is obtained. Some direct simulations to see the evolution of different continuous wave states are reported. These show the formation of modulation instability pulses as well as transitions from lower amplitude continuous wave states to higher amplitude continuous wave states.