Soto-Crespo, Jose MAkhmediev, Nail2015-12-132015-12-131063-651Xhttp://hdl.handle.net/1885/94406The complex quintic Swift-Hohenberg equation (CSHE) is a model for describing pulse generation in mode-locked lasers with fast saturable absorbers and a complicated spectral response. Using numerical simulations, we study the single- and two-soliton solutions of the (1 - 1)-dimensional complex quintic Swift-Hohenberg equations. We have found that several types of stationary and moving composite solitons of this equation are generally stable and have a wider range of existence than for those of the complex quintic Ginzburg-Landau equation. We have also found that the CSHE has a wider variety of localized solutions. In particular, there are three types of stable soliton pairs with π and π/2 phase difference and three different fixed separations between the pulses. Different types of soliton pairs can be generated by changing the parameter corresponding to the nonlinear gain (ε).Keywords: Bit error rate; Chemical reactions; Computer simulation; Electric lines; Mathematical models; Numerical methods; Pulse generators; Solitons; Complex quintic Swift-Hohenberg equation (CSHE); Composite solitons; Mode-locked lasers; Spectral response; Laser200210.1103/PhysRevE.66.0666102015-12-12