Abundant complex wave solutions for the nonautonomous Fokas-Lenells equation in presence of perturbation terms

This paper mainly investigates the nonautonomous Fokas Lenells equation (FLE) in presence of perturbation terms. Bright dark soliton solutions, Arbitrary solutions, similarity solutions, and some exact solutions for the FLE are obtained by different techniques. Furthermore, some figures are given to explain the movement mechanism of these solutions. To our best knowledge, the discussion and results in this work are new and important in different branches of science where this equation is used to describe some physical phenomenon.