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

► Stationary pulses in two CGLEs coupled with a cross phase modulation term are studied. ► For the symmetric case, several solutions coexist simultaneously. ► Single peak solutions are stable. Multipeaks solutions lead to the formation of single pulse groups. ► Numerical simulations show that asymmetric stationary pulses are not supported.