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

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 case...

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Bibliographic Details
Published inJournal of optics (2010) Vol. 15; no. 6; pp. 64006 - 1-10
Main Authors Bandelow, U, Akhmediev, N
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.06.2013
Subjects
Amplitudes
Constraining
Mathematical analysis
NLSE
rational solitons
rogue waves
Sasa-Satsuma equation
Solitons
solitons on a background
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:2040-8978
2040-8986
DOI:10.1088/2040-8978/15/6/064006