title: Sasa-Satsuma equation: soliton on a background and its limiting cases.
abstract: We 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.
authors.affiliation: Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany.
authors.forename: U
authors.initials: U
authors.lastname: Bandelow
authors.forename: N
authors.initials: N
authors.lastname: Akhmediev