WIAS Preprint No. 1724, (2012)
Sasa--Satsuma equation: Soliton on a background and its limiting cases
- Bandelow, Uwe
- Akhmediev, Nail
2010 Mathematics Subject Classification
- 35Q55 35Q60 37K40
2008 Physics and Astronomy Classification Scheme
- 42.65.Tg 05.45.Yv 42.81.Dp
- Generalized nonlinear Schrödinger equations, rogue wave, soliton, Sasa-Satsuma equation
We present a multi-parameter family of a soliton on a background solutions 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 NLSE limit and the limit of rogue wave solutions.
- Phys. Rev. E (3), 86 (2012) pp. 026606/1--026606/8.