Abstract
•Optical solitons applied to perturbed FLE (Fokas–Lenells equation).•The model, as it is not variational, the conserved forms are adapted in an ‘approximate’ and novel way.•Conservation laws (conserved densities) of the model are determined.
This paper obtains bright, dark and singular optical soliton solutions to the perturbed Fokas-Lenells equation by the aid of Lie symmetry analysis. The conserved laws are also retrieved and finally the conserved quantities are computed from these densities.