WIAS Preprint No. 1724, (2012)

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


  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347
  • 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.

Appeared in

  • Phys. Rev. E (3), 86 (2012) pp. 026606/1--026606/8.

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