WIAS Preprint No. 1761, (2013)

Solitons on a background, rogue waves and classical soliton solutions of Sasa--Satsuma equation



Authors

  • 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

Keywords

  • Generalized nonlinear Schrödinger equations, Sasa-Satsuma equation, soliton, rogue waves

Abstract

We present the most general multi-parameter family of a soliton on a background solutions to the Sasa-Satsuma equation. The solution contains a set of several free parameters that control the background amplitude as well as the soliton itself. This family of solutions admits nontrivial limiting cases, such as rogue waves and classical solitons, that are considered in detail.

Appeared in

  • J. Opt., 15 (2013) pp. 064006/1--064006/10.

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