Averaged model and integrable limits in nonlinear double-periodic Hamiltonian systems

Sergei K. Turitsyn; Elena G. Turitsyna; Sergei B. Medvedev; Michail P. Fedoruk

doi:10.1103/PhysRevE.61.3127

Averaged model and integrable limits in nonlinear double-periodic Hamiltonian systems

Sergei K. Turitsyn^*, Elena G. Turitsyna, Sergei B. Medvedev, Michail P. Fedoruk

^*Corresponding author for this work

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

Abstract

We derive average propagation model for a nonlinear wave dynamics in media with periodically varying parameters considering a general case with different periods of the nonlinearity and dispersion oscillations. Applying quasi-identical canonical transformation we find the conditions when the averaged Hamiltonian dynamics is close to an integrable model. We apply general theory to the practical problem of optical signal transmission in fiber lines with short-scale dispersion management.

Original language	English
Pages (from-to)	3127-3132
Number of pages	6
Journal	Physical Review E
Volume	61
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.61.3127
Publication status	Published - 1 Mar 2000

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title = "Averaged model and integrable limits in nonlinear double-periodic Hamiltonian systems",

abstract = "We derive average propagation model for a nonlinear wave dynamics in media with periodically varying parameters considering a general case with different periods of the nonlinearity and dispersion oscillations. Applying quasi-identical canonical transformation we find the conditions when the averaged Hamiltonian dynamics is close to an integrable model. We apply general theory to the practical problem of optical signal transmission in fiber lines with short-scale dispersion management.",

author = "Turitsyn, {Sergei K.} and Turitsyna, {Elena G.} and Medvedev, {Sergei B.} and Fedoruk, {Michail P.}",

year = "2000",

month = mar,

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doi = "10.1103/PhysRevE.61.3127",

language = "English",

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T1 - Averaged model and integrable limits in nonlinear double-periodic Hamiltonian systems

AU - Turitsyn, Sergei K.

AU - Turitsyna, Elena G.

AU - Medvedev, Sergei B.

AU - Fedoruk, Michail P.

PY - 2000/3/1

Y1 - 2000/3/1

N2 - We derive average propagation model for a nonlinear wave dynamics in media with periodically varying parameters considering a general case with different periods of the nonlinearity and dispersion oscillations. Applying quasi-identical canonical transformation we find the conditions when the averaged Hamiltonian dynamics is close to an integrable model. We apply general theory to the practical problem of optical signal transmission in fiber lines with short-scale dispersion management.

AB - We derive average propagation model for a nonlinear wave dynamics in media with periodically varying parameters considering a general case with different periods of the nonlinearity and dispersion oscillations. Applying quasi-identical canonical transformation we find the conditions when the averaged Hamiltonian dynamics is close to an integrable model. We apply general theory to the practical problem of optical signal transmission in fiber lines with short-scale dispersion management.

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UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.61.3127

U2 - 10.1103/PhysRevE.61.3127

DO - 10.1103/PhysRevE.61.3127

M3 - Article

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VL - 61

SP - 3127

EP - 3132

JO - Physical Review E

JF - Physical Review E

IS - 3

ER -

Averaged model and integrable limits in nonlinear double-periodic Hamiltonian systems

Abstract

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