Abstract
This paper presents a study of optical solitons for the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law nonlinearity using different fractional differential operators. The soliton solutions of the equation have been investigated with conformable, β and M-truncated derivatives. A Jacobi elliptic function finder technique, namely, new extended ϕ6-model expansion method has been utilized for the construction of the solutions. A variety of soliton solutions to the complex Ginzburg–Landau equation have been obtained. The comparison of some of the retrieved solutions has also been graphically illustrated using the three fractional differential operators.
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