Systematic construction of multicomponent optical solitons

Q Han Park, H. J. Shin

Research output: Contribution to journalArticle

100 Citations (Scopus)

Abstract

A systematic method is presented to construct multicomponent optical solitons for the system governed by the vector nonlinear Schrödinger equation. By solving the characteristic eigenvalue problem, we obtain a general n-component soliton solution in the presence of nonzero background fields. In the two-component case, we show that this general solution not only includes previously known soliton solutions, e.g., bright-bright, dark-bright, dark-dark pair solitons for self-focusing or self-defocusing media, but depending on the choice of parameters it also exhibits different types of soliton solution. In particular, we obtain a general dark-bright type solution in a self-focusing medium, which describes a breakup of a dark-bright pair into another dark-bright pair and an "oscillating" soliton, or the reverse fusing process. In the case of a self-defocusing medium, we generalize the previously known static dark-dark pair and show that a general dark-dark pair is non-static and oscillates periodically through exchanging energies between two components. It is shown that the static case arises when the complex soliton parameter is restricted to a pure imaginary number. We address about the criterion for testing singularity in a general solution in terms of solution parameters, and also about the non-Abelian SU(n) symmetry of the system.

Original languageEnglish
Pages (from-to)3093-3106
Number of pages14
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number3
Publication statusPublished - 2000 Mar 1
Externally publishedYes

Fingerprint

Optical Solitons
solitary waves
Soliton Solution
Solitons
Self-focusing
General Solution
defocusing
self focusing
Imaginary number
Breakup
Eigenvalue Problem
Reverse
exchanging
Nonlinear Equations
Singularity
Symmetry
nonlinear equations
Testing
Generalise
eigenvalues

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Systematic construction of multicomponent optical solitons. / Park, Q Han; Shin, H. J.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, No. 3, 01.03.2000, p. 3093-3106.

Research output: Contribution to journalArticle

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