Bandelow, U.Akhmediev, Nail2015-12-101539-3755http://hdl.handle.net/1885/68185We present a multiparameter family of a soliton on a background solution to the Sasa-Satsuma equation. The solution is controlled by a set of several free parameters that control the background amplitude as well as the soliton itself. This family of solutions admits a few nontrivial limiting cases that are considered in detail. Among these special cases is the nonlinear Schrödinger equation limit and the limit of rogue wave solutions.Author/s retain copyrightKeywords: Dinger equation; Free parameters; Limiting case; Multiparameters; Rogue waves; Nonlinear equations; Solitons201210.1103/PhysRevE.86.0266062016-02-24