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

U. Bandelow

N. Akhmediev

  • Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, 10117 Berlin, Germany

  • Optical Sciences Group, Research School of Physics and Engineering, Institute of Advanced Studies, The Australian National University, Canberra ACT 0200, Australia

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Phys. Rev. E 86, 026606 – Published 27 August, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.026606

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.

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Outline

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Phys. Rev. E 86, 026606– Published 27 August, 2012
  • Received 18 July 2012

©2012 American Physical Society

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