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

U. Bandelow; N. Akhmediev

doi:10.1103/PhysRevE.86.026606

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

U. Bandelow^*, N. Akhmediev

^*Corresponding author for this work

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

105 Citations (Scopus)

Abstract

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.

Original language	English
Article number	026606
Journal	Physical Review E
Volume	86
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.86.026606
Publication status	Published - 27 Aug 2012

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10.1103/PhysRevE.86.026606

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abstract = "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 Schr{\"o}dinger equation limit and the limit of rogue wave solutions.",

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AB - 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.

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

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