Abstract
In this study, new soliton solutions of the fractional complex Ginzburg–Landau equation, that models soliton propagation in the presence of detuning factor, have been constructed. The Kerr law, power law, dual-power law and log law nonlinearity have been considered. The exp(−ϕ(ξ))-expansion method has been utilized for finding new exact solutions of fractional complex Ginzburg–Landau equation. Different forms of solutions, including the hyperbolic, trigonometric and rational function solutions are formally extracted. The method suggests a useful and efficient technique to look for the exact solutions of a wide range of nonlinear fractional partial differential equations.
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