New bisoliton solutions in dispersion managed systems

M. Shkarayev, Mikhail Stepanov

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this paper we propose a method which provides a full description of solitary wave solutions of the Schrödinger equation with periodically varying dispersion. This method is based on analysis and polynomial deformation of the spectrum of an iterative map. Using this method we discover a new family of antisymmetric bisoliton solutions. In addition to the fact that these solutions are of interest for nonlinear fiber optics and the theory of nonlinear Schrödinger equations with periodic coefficients, they have potential applications for increasing of bit-rate in high speed optical fiber communications.

Original languageEnglish (US)
Pages (from-to)840-845
Number of pages6
JournalPhysica D: Nonlinear Phenomena
Volume238
Issue number9-10
DOIs
StatePublished - May 15 2009

Fingerprint

nonlinear optics
nonlinear equations
fiber optics
polynomials
solitary waves
optical fibers
communication
high speed
coefficients

Keywords

  • Bisoliton
  • Dispersion management
  • Iterations convergence

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

New bisoliton solutions in dispersion managed systems. / Shkarayev, M.; Stepanov, Mikhail.

In: Physica D: Nonlinear Phenomena, Vol. 238, No. 9-10, 15.05.2009, p. 840-845.

Research output: Contribution to journalArticle

@article{e0957d65348549569018de3e9f48e17a,
title = "New bisoliton solutions in dispersion managed systems",
abstract = "In this paper we propose a method which provides a full description of solitary wave solutions of the Schr{\"o}dinger equation with periodically varying dispersion. This method is based on analysis and polynomial deformation of the spectrum of an iterative map. Using this method we discover a new family of antisymmetric bisoliton solutions. In addition to the fact that these solutions are of interest for nonlinear fiber optics and the theory of nonlinear Schr{\"o}dinger equations with periodic coefficients, they have potential applications for increasing of bit-rate in high speed optical fiber communications.",
keywords = "Bisoliton, Dispersion management, Iterations convergence",
author = "M. Shkarayev and Mikhail Stepanov",
year = "2009",
month = "5",
day = "15",
doi = "10.1016/j.physd.2009.02.009",
language = "English (US)",
volume = "238",
pages = "840--845",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "9-10",

}

TY - JOUR

T1 - New bisoliton solutions in dispersion managed systems

AU - Shkarayev, M.

AU - Stepanov, Mikhail

PY - 2009/5/15

Y1 - 2009/5/15

N2 - In this paper we propose a method which provides a full description of solitary wave solutions of the Schrödinger equation with periodically varying dispersion. This method is based on analysis and polynomial deformation of the spectrum of an iterative map. Using this method we discover a new family of antisymmetric bisoliton solutions. In addition to the fact that these solutions are of interest for nonlinear fiber optics and the theory of nonlinear Schrödinger equations with periodic coefficients, they have potential applications for increasing of bit-rate in high speed optical fiber communications.

AB - In this paper we propose a method which provides a full description of solitary wave solutions of the Schrödinger equation with periodically varying dispersion. This method is based on analysis and polynomial deformation of the spectrum of an iterative map. Using this method we discover a new family of antisymmetric bisoliton solutions. In addition to the fact that these solutions are of interest for nonlinear fiber optics and the theory of nonlinear Schrödinger equations with periodic coefficients, they have potential applications for increasing of bit-rate in high speed optical fiber communications.

KW - Bisoliton

KW - Dispersion management

KW - Iterations convergence

UR - http://www.scopus.com/inward/record.url?scp=64249160109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=64249160109&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2009.02.009

DO - 10.1016/j.physd.2009.02.009

M3 - Article

AN - SCOPUS:64249160109

VL - 238

SP - 840

EP - 845

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 9-10

ER -