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Sasa-Satsuma equation: Soliton on a background and its limiting cases

Sasa-Satsuma equation: Soliton on a background and its limiting cases

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 …