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

Bandelow, U.; Akhmediev, Nail

Description

We present a multiparameter family of a soliton on a background solution 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 nonlinear Schrödinger equation limit and the limit of rogue wave solutions.

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/68185
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.86.026606

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