Systematic construction of vector solitons

Q. Han Park, Hyun Jong Shin

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We present a simple but powerful method for constructing multisolitons of the integrable Manakov (coupled nonlinear Schrödinger) equation. Our method is essentially equivalent to the inverse scattering method (ISM) with the full strength generality but without the mathematical rigor of the ISM. This makes our method appropriate for practical purposes. A closed form of matrix determinant for the N-soliton solution in a nonvanishing background is found in this way. We work out explicitly the two dark vector soliton and the three bright vector soliton cases and demonstrate their novel behaviors.

Original languageEnglish
Pages (from-to)432-439
Number of pages8
JournalIEEE Journal on Selected Topics in Quantum Electronics
Volume8
Issue number3
DOIs
Publication statusPublished - 2002 May

Keywords

  • Manakov equation
  • N-soliton

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering

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