Dynamics and interaction of pulses in the modified Manakov model

Eduard N. Tsoy; Nail Akhmediev

doi:10.1016/j.optcom.2006.05.017

Dynamics and interaction of pulses in the modified Manakov model

Eduard N. Tsoy^*, Nail Akhmediev

^*Corresponding author for this work

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

26 Citations (Scopus)

Abstract

The two-component vector nonlinear Schrödinger equation, with mixed signs of the nonlinear coefficients, is considered. This equation is integrable by the inverse scattering transform method. The evolution of a single pulse and interaction of pulses are studied. It is shown that the dynamics of a single pulse is reduced to the scalar nonlinear Schrödinger equation of focusing or defocusing type, depending on the initial parameters. It is found that the interaction of pulses results in the appearance of additional solitons and bound states of several solitons. The asymptotic field profile in the non-soliton regime is also obtained.

Original language	English
Pages (from-to)	660-668
Number of pages	9
Journal	Optics Communications
Volume	266
Issue number	2
DOIs	https://doi.org/10.1016/j.optcom.2006.05.017
Publication status	Published - 15 Oct 2006

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10.1016/j.optcom.2006.05.017

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title = "Dynamics and interaction of pulses in the modified Manakov model",

abstract = "The two-component vector nonlinear Schr{\"o}dinger equation, with mixed signs of the nonlinear coefficients, is considered. This equation is integrable by the inverse scattering transform method. The evolution of a single pulse and interaction of pulses are studied. It is shown that the dynamics of a single pulse is reduced to the scalar nonlinear Schr{\"o}dinger equation of focusing or defocusing type, depending on the initial parameters. It is found that the interaction of pulses results in the appearance of additional solitons and bound states of several solitons. The asymptotic field profile in the non-soliton regime is also obtained.",

keywords = "Coupled nonlinear Schr{\"o}dinger equations, Integrable systems, The Manakov system, Vector solitons",

author = "Tsoy, {Eduard N.} and Nail Akhmediev",

year = "2006",

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day = "15",

doi = "10.1016/j.optcom.2006.05.017",

language = "English",

volume = "266",

pages = "660--668",

journal = "Optics Communications",

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TY - JOUR

T1 - Dynamics and interaction of pulses in the modified Manakov model

AU - Tsoy, Eduard N.

AU - Akhmediev, Nail

PY - 2006/10/15

Y1 - 2006/10/15

N2 - The two-component vector nonlinear Schrödinger equation, with mixed signs of the nonlinear coefficients, is considered. This equation is integrable by the inverse scattering transform method. The evolution of a single pulse and interaction of pulses are studied. It is shown that the dynamics of a single pulse is reduced to the scalar nonlinear Schrödinger equation of focusing or defocusing type, depending on the initial parameters. It is found that the interaction of pulses results in the appearance of additional solitons and bound states of several solitons. The asymptotic field profile in the non-soliton regime is also obtained.

AB - The two-component vector nonlinear Schrödinger equation, with mixed signs of the nonlinear coefficients, is considered. This equation is integrable by the inverse scattering transform method. The evolution of a single pulse and interaction of pulses are studied. It is shown that the dynamics of a single pulse is reduced to the scalar nonlinear Schrödinger equation of focusing or defocusing type, depending on the initial parameters. It is found that the interaction of pulses results in the appearance of additional solitons and bound states of several solitons. The asymptotic field profile in the non-soliton regime is also obtained.

KW - Coupled nonlinear Schrödinger equations

KW - Integrable systems

KW - The Manakov system

KW - Vector solitons

UR - http://www.scopus.com/inward/record.url?scp=33748956119&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2006.05.017

DO - 10.1016/j.optcom.2006.05.017

M3 - Article

SN - 0030-4018

VL - 266

SP - 660

EP - 668

JO - Optics Communications

JF - Optics Communications

IS - 2

ER -

Dynamics and interaction of pulses in the modified Manakov model

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