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

U. Bandelow; N. Akhmediev

doi:10.1088/2040-8978/15/6/064006

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

U. Bandelow, N. Akhmediev

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We present the most general multi-parameter family of a soliton on background solutions to the Sasa-Satsuma equation. These solutions contain 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.

Original language	English
Article number	064006
Journal	Journal of Optics (United Kingdom)
Volume	15
Issue number	6
DOIs	https://doi.org/10.1088/2040-8978/15/6/064006
Publication status	Published - Jun 2013

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AB - We present the most general multi-parameter family of a soliton on background solutions to the Sasa-Satsuma equation. These solutions contain 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.

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

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