Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case

► For the first time a rogue wave solution of the Sasa-Satsuma equation is presented. ► It is given by fourth order polynomials rather than second order in the NLSE limit. ► SSE rogue waves are illustrated for various parameters, as deviation from the NLSE. ► A non-singular NLSE limit of a solution of the SSE has been demonstrated.