Lorentzian-type soliton solutions of ac-driven complex Ginzburg–Landau equation

Fractional transform solutions of modified complex Ginzburg–Landau equation phase locked to a time-dependent force have been found. The reported solutions are necessarily of the Lorentzian-type containing trigonometric, hyperbolic and pure cnoidal functions. Numerical simulations indicated that the periodic solutions and soliton solutions are quite stable against finite perturbations.