An integrable reduction of inhomogeneously broadened optical equations

S. A. Glasgow; M. A. Agrotis; N. M. Ercolani

doi:10.1016/j.physd.2005.09.010

An integrable reduction of inhomogeneously broadened optical equations

S. A. Glasgow, M. A. Agrotis, N. M. Ercolani

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

14 Scopus citations

Abstract

We introduce a set of reduced Maxwell-Bloch equations that incorporates the effects of a permanent dipole and inhomogeneous broadening. We demonstrate the integrability of this reduction by providing a Lax pair, which is found using the pseudo-potential technique. An appropriate Bäcklund transformation is employed to produce a family of solitonic solutions. Published by Elsevier B.V.

Original language	English (US)
Pages (from-to)	82-99
Number of pages	18
Journal	Physica D: Nonlinear Phenomena
Volume	212
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physd.2005.09.010
State	Published - Dec 1 2005

Keywords

Bäcklund transformation
Inhomogeneously broadened reduced Maxwell-Bloch equations
Lax pair

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2005.09.010

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title = "An integrable reduction of inhomogeneously broadened optical equations",

abstract = "We introduce a set of reduced Maxwell-Bloch equations that incorporates the effects of a permanent dipole and inhomogeneous broadening. We demonstrate the integrability of this reduction by providing a Lax pair, which is found using the pseudo-potential technique. An appropriate B{\"a}cklund transformation is employed to produce a family of solitonic solutions. Published by Elsevier B.V.",

keywords = "B{\"a}cklund transformation, Inhomogeneously broadened reduced Maxwell-Bloch equations, Lax pair",

author = "Glasgow, {S. A.} and Agrotis, {M. A.} and Ercolani, {N. M.}",

note = "Funding Information: One of the authors, M.A.A., would like to thank the Mathematics Department of the University of Arizona for hospitality during a short-term visit. M.A.A. would also like to thank the Cyprus Research Promotion Foundation for support through the grant CRPF0504/03.",

year = "2005",

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doi = "10.1016/j.physd.2005.09.010",

language = "English (US)",

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T1 - An integrable reduction of inhomogeneously broadened optical equations

AU - Glasgow, S. A.

AU - Agrotis, M. A.

AU - Ercolani, N. M.

N1 - Funding Information: One of the authors, M.A.A., would like to thank the Mathematics Department of the University of Arizona for hospitality during a short-term visit. M.A.A. would also like to thank the Cyprus Research Promotion Foundation for support through the grant CRPF0504/03.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - We introduce a set of reduced Maxwell-Bloch equations that incorporates the effects of a permanent dipole and inhomogeneous broadening. We demonstrate the integrability of this reduction by providing a Lax pair, which is found using the pseudo-potential technique. An appropriate Bäcklund transformation is employed to produce a family of solitonic solutions. Published by Elsevier B.V.

AB - We introduce a set of reduced Maxwell-Bloch equations that incorporates the effects of a permanent dipole and inhomogeneous broadening. We demonstrate the integrability of this reduction by providing a Lax pair, which is found using the pseudo-potential technique. An appropriate Bäcklund transformation is employed to produce a family of solitonic solutions. Published by Elsevier B.V.

KW - Bäcklund transformation

KW - Inhomogeneously broadened reduced Maxwell-Bloch equations

KW - Lax pair

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

An integrable reduction of inhomogeneously broadened optical equations

Abstract

Keywords

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