Abstract
•Bright 1–soliton solution to the perturbed Kudryashov's equation is revealed.•The semi–inverse variational principle is implemented.•The perturbation terms appear with maximum intensity and additionally higher order dispersion effects are included.•The parameter constraints for the solitons to exist are also presented.
The semi–inverse variational principle retrieved bright 1–soliton solution to the perturbed Kudryashov's equation. The perturbation terms appear with maximum intensity and additionally higher order dispersion effects are included. The parameter constraints for the solitons to exist are also enumerated.