Abstract
•Optical solitons for special cases of Kudryashov’s model in birefringentbers are revealed.•The auxiliary equation mapping method is implemented to study the model.•Bright, dark and singular solitons and other solutions emerge from the integration scheme.
In this paper, the auxiliary equation mapping method is employed to extract optical solitons and other solutions for special cases of Kudryashov’s model in birefringent fibers that is studied without the effect of four wave mixing effects. Bright, dark and singular solitons and other solutions emerge from the auxiliary equation mapping method.