Bright and dark optical solitons with kerr and parabolic law nonlinearities by series solution approach

E. V. Krishnan, Muna Al Ghabshi, Qin Zhou, Anjan Biswas, Essaid Zerrad, Milivoj Belic

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper applies series solution technique to retrieve bright and dark 1-soliton solution of the nonlinear Schrödinger's equation that governs the propagation of solitons through optical fibers. Kerr law nonlinearity gives bright and dark soliton, while parabolic law yields dark 1-soliton solution. The series solution technique provides an alternative, yet powerful, integration algorithm to integrate nonlinear Schrodinger's equation. The drawback that is encountered using this approach is the inability to obtain singular soliton solutions to the model.

Original languageEnglish
Pages (from-to)58-61
Number of pages4
JournalJournal of Computational and Theoretical Nanoscience
Volume13
Issue number1
DOIs
Publication statusPublished - Jan 1 2016

Fingerprint

Optical Solitons
Series Solution
Soliton Solution
Solitons
solitary waves
nonlinearity
Nonlinearity
Nonlinear Schrodinger Equation
nonlinear equations
Optical Fiber
Nonlinear Equations
Schrodinger equation
Integrate
Propagation
Nonlinear equations
Alternatives
Optical fibers
optical fibers
propagation
Model

Keywords

  • Kerr Law
  • Parabolic Law
  • Solitons

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering
  • Materials Science(all)
  • Computational Mathematics
  • Chemistry(all)

Cite this

Bright and dark optical solitons with kerr and parabolic law nonlinearities by series solution approach. / Krishnan, E. V.; Ghabshi, Muna Al; Zhou, Qin; Biswas, Anjan; Zerrad, Essaid; Belic, Milivoj.

In: Journal of Computational and Theoretical Nanoscience, Vol. 13, No. 1, 01.01.2016, p. 58-61.

Research output: Contribution to journalArticle

Krishnan, E. V. ; Ghabshi, Muna Al ; Zhou, Qin ; Biswas, Anjan ; Zerrad, Essaid ; Belic, Milivoj. / Bright and dark optical solitons with kerr and parabolic law nonlinearities by series solution approach. In: Journal of Computational and Theoretical Nanoscience. 2016 ; Vol. 13, No. 1. pp. 58-61.
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