New bisoliton solutions in dispersion managed systems

M. Shkarayev; M. G. Stepanov

doi:10.1016/j.physd.2009.02.009

New bisoliton solutions in dispersion managed systems

M. Shkarayev, M. G. Stepanov

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English (US)
Pages (from-to)	840-845
Number of pages	6
Journal	Physica D: Nonlinear Phenomena
Volume	238
Issue number	9-10
DOIs	https://doi.org/10.1016/j.physd.2009.02.009
State	Published - May 15 2009

Keywords

Bisoliton
Dispersion management
Iterations convergence

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Access to Document

10.1016/j.physd.2009.02.009

Cite this

@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 Stepanov, {M. G.}",

note = "Funding Information: Authors would like to thank Ildar Gabitov and Linn Mollenauer for posing the problem, and Robert Indik and Sasha Korotkevich for the useful discussions during the work on this problem. This work supported in part by the State of Arizona grant TRIF (Proposition 301), NSFgrant EMSW21-VIGRE # 0602173, and by the Department of Energy at Los Alamos National Laboratory under contracts DE-AC52-06NA25396 and the DOE Office of Science Advanced Computing Research (ASCR) program in Applied Mathematical Sciences. ",

year = "2009",

month = may,

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, M. G.

N1 - Funding Information: Authors would like to thank Ildar Gabitov and Linn Mollenauer for posing the problem, and Robert Indik and Sasha Korotkevich for the useful discussions during the work on this problem. This work supported in part by the State of Arizona grant TRIF (Proposition 301), NSFgrant EMSW21-VIGRE # 0602173, and by the Department of Energy at Los Alamos National Laboratory under contracts DE-AC52-06NA25396 and the DOE Office of Science Advanced Computing Research (ASCR) program in Applied Mathematical Sciences.

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

SN - 0167-2789

VL - 238

SP - 840

EP - 845

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 9-10

ER -

New bisoliton solutions in dispersion managed systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this