Soliton pulse propagation in averaged dispersion-managed optical fiber system

C. C. Mak, K. W. Chow, Nakkeeran Kaliyaperumal

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The dynamics of nonlinear pulse propagation in an averaged dispersion-managed soliton system is governed by a variable coefficient nonlinear Schrodinger equation (NLSE). For a special set of parameters the variable coefficient NLSE is completely integrable. The same variable coefficient NLSE is also applicable to optical fiber systems with phase modulation or pulse compression. For such variable coefficient NLSE, solitary waves have been computed earlier in the literature either by the inverse scattering transform or the Backlund transformation. The Hirota bilinear method is shown to be applicable here too, and this modified format is employed to compute the exact bright and dark soliton solutions and the periodic waves solutions. The analysis is also extended to the coupled variable coefficient NLSEs. The merit of the Hirota bilinear approach is demonstrated clearly as periodic and solitary waves are obtained even for nonintegrable coupled systems. The validity of the new solutions is verified directly and independently by the software Mathematica.

Original languageEnglish
Pages (from-to)1449-1456
Number of pages7
JournalJournal of the Physical Society of Japan
Volume74
DOIs
Publication statusPublished - 2005

Keywords

  • optical fibers
  • variable coefficient nonlinear Schrodinger equation (NLSE)
  • dispersion-managed (DM) solitons
  • Hirota bilinear method
  • bright and dark solitons
  • periodic wave solutions
  • nonlinear Schrodinger equations
  • linear evolution equations
  • 2-periodic wave solution
  • enhanced-power solitons
  • nonuniform media
  • transmission
  • reduction
  • compensation
  • compression
  • jitter

Cite this

Soliton pulse propagation in averaged dispersion-managed optical fiber system. / Mak, C. C.; Chow, K. W.; Kaliyaperumal, Nakkeeran.

In: Journal of the Physical Society of Japan, Vol. 74, 2005, p. 1449-1456.

Research output: Contribution to journalArticle

@article{f3221dc1acf147a88de45683d256f517,
title = "Soliton pulse propagation in averaged dispersion-managed optical fiber system",
abstract = "The dynamics of nonlinear pulse propagation in an averaged dispersion-managed soliton system is governed by a variable coefficient nonlinear Schrodinger equation (NLSE). For a special set of parameters the variable coefficient NLSE is completely integrable. The same variable coefficient NLSE is also applicable to optical fiber systems with phase modulation or pulse compression. For such variable coefficient NLSE, solitary waves have been computed earlier in the literature either by the inverse scattering transform or the Backlund transformation. The Hirota bilinear method is shown to be applicable here too, and this modified format is employed to compute the exact bright and dark soliton solutions and the periodic waves solutions. The analysis is also extended to the coupled variable coefficient NLSEs. The merit of the Hirota bilinear approach is demonstrated clearly as periodic and solitary waves are obtained even for nonintegrable coupled systems. The validity of the new solutions is verified directly and independently by the software Mathematica.",
keywords = "optical fibers, variable coefficient nonlinear Schrodinger equation (NLSE), dispersion-managed (DM) solitons, Hirota bilinear method, bright and dark solitons, periodic wave solutions, nonlinear Schrodinger equations, linear evolution equations, 2-periodic wave solution, enhanced-power solitons, nonuniform media, transmission, reduction, compensation, compression, jitter",
author = "Mak, {C. C.} and Chow, {K. W.} and Nakkeeran Kaliyaperumal",
year = "2005",
doi = "10.1143/JPSJ.74.1449",
language = "English",
volume = "74",
pages = "1449--1456",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",

}

TY - JOUR

T1 - Soliton pulse propagation in averaged dispersion-managed optical fiber system

AU - Mak, C. C.

AU - Chow, K. W.

AU - Kaliyaperumal, Nakkeeran

PY - 2005

Y1 - 2005

N2 - The dynamics of nonlinear pulse propagation in an averaged dispersion-managed soliton system is governed by a variable coefficient nonlinear Schrodinger equation (NLSE). For a special set of parameters the variable coefficient NLSE is completely integrable. The same variable coefficient NLSE is also applicable to optical fiber systems with phase modulation or pulse compression. For such variable coefficient NLSE, solitary waves have been computed earlier in the literature either by the inverse scattering transform or the Backlund transformation. The Hirota bilinear method is shown to be applicable here too, and this modified format is employed to compute the exact bright and dark soliton solutions and the periodic waves solutions. The analysis is also extended to the coupled variable coefficient NLSEs. The merit of the Hirota bilinear approach is demonstrated clearly as periodic and solitary waves are obtained even for nonintegrable coupled systems. The validity of the new solutions is verified directly and independently by the software Mathematica.

AB - The dynamics of nonlinear pulse propagation in an averaged dispersion-managed soliton system is governed by a variable coefficient nonlinear Schrodinger equation (NLSE). For a special set of parameters the variable coefficient NLSE is completely integrable. The same variable coefficient NLSE is also applicable to optical fiber systems with phase modulation or pulse compression. For such variable coefficient NLSE, solitary waves have been computed earlier in the literature either by the inverse scattering transform or the Backlund transformation. The Hirota bilinear method is shown to be applicable here too, and this modified format is employed to compute the exact bright and dark soliton solutions and the periodic waves solutions. The analysis is also extended to the coupled variable coefficient NLSEs. The merit of the Hirota bilinear approach is demonstrated clearly as periodic and solitary waves are obtained even for nonintegrable coupled systems. The validity of the new solutions is verified directly and independently by the software Mathematica.

KW - optical fibers

KW - variable coefficient nonlinear Schrodinger equation (NLSE)

KW - dispersion-managed (DM) solitons

KW - Hirota bilinear method

KW - bright and dark solitons

KW - periodic wave solutions

KW - nonlinear Schrodinger equations

KW - linear evolution equations

KW - 2-periodic wave solution

KW - enhanced-power solitons

KW - nonuniform media

KW - transmission

KW - reduction

KW - compensation

KW - compression

KW - jitter

U2 - 10.1143/JPSJ.74.1449

DO - 10.1143/JPSJ.74.1449

M3 - Article

VL - 74

SP - 1449

EP - 1456

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

ER -