Abstract
New optical soliton solutions for the coupled conformable Fokas–Lenells equation with spatio-temporal dispersion are obtained via Atangana’s derivative operator using an integration method. The used method in this article is sine–Gordon expansion method. The obtained solutions include dark, bright, singular as well as periodic waves solitons which are graphically discussed through 2D- and 3D-plots.
•The coupled conformable Fokas–Lenells equation with spatio-temporal dispersion is investigated.•The Sine–Gordon expansion method is applied to that equation.•A graphical representation of the obtained soliton solutions is presented.