Abstract
•Kundu–Mukherjee–Naskar equation is studied to retrieve optical soliton solutions in (2+1)-dimensions.•The extended trial function method was implemented to study the model.•Singular periodic solutions and plane waves also emerged from the scheme as a byproduct.
This paper addresses Kundu–Mukherjee–Naskar equation by the aid of extended trial function method to recover optical soliton solutions in (2+1)–dimensions. The integration algorithm revealed doubly periodic functions. Upon taking the limiting values of the modulus of ellipticity, bright and singular solitons as well as singular periodic solutions emerge. Additional solutions such as plane waves also fall out of the scheme.