Abstract
In our article, we deduce the soliton solutions for highly dispersive perturbed complex-Ginzburg–Landau equation in birefringent fibers having polynomial law of nonlinearity.
In this study, we use two methods, namely the G′/G–expansion method and the addendum Kudryashov’s method.
We have found the straddled, combo bright–singular, dark, bright and singular solitons solutions as long as the rational solutions of the proposed equation.