Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole

Maria Agrotis; N. M. Ercolani; S. A. Glasgow; J. V. Moloney

doi:10.1016/S0167-2789(99)00168-2

Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole

Maria Agrotis, N. M. Ercolani, S. A. Glasgow, J. V. Moloney

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

71 Scopus citations

Abstract

We obtain the Lax pair, hierarchy of commuting flows and Bäcklund transformations for a reduced Maxwell-Bloch (RMB) system. This system is of particular interest for the description of unipolar, nonoscillating electromagnetic solitons (also called "electromagnetic bubbles").

Original language	English (US)
Pages (from-to)	134-162
Number of pages	29
Journal	Physica D: Nonlinear Phenomena
Volume	138
Issue number	1-2
DOIs	https://doi.org/10.1016/S0167-2789(99)00168-2
State	Published - Apr 1 2000

Keywords

Bäcklund transformations
Hierarchy of commuting flows
Lax pair
Maxwell-Bloch equations

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/S0167-2789(99)00168-2

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title = "Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole",

abstract = "We obtain the Lax pair, hierarchy of commuting flows and B{\"a}cklund transformations for a reduced Maxwell-Bloch (RMB) system. This system is of particular interest for the description of unipolar, nonoscillating electromagnetic solitons (also called {"}electromagnetic bubbles{"}).",

keywords = "B{\"a}cklund transformations, Hierarchy of commuting flows, Lax pair, Maxwell-Bloch equations",

author = "Maria Agrotis and Ercolani, \{N. M.\} and Glasgow, \{S. A.\} and Moloney, \{J. V.\}",

note = "Funding Information: The authors would like to express their appreciation to J. Lega for helpful discussions. The authors would like to acknowledge the support received from NSF Grant DMS-9626306 and AFOSR Grant F49620-94-1-0144.",

year = "2000",

month = apr,

day = "1",

doi = "10.1016/S0167-2789(99)00168-2",

language = "English (US)",

volume = "138",

pages = "134--162",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole

AU - Agrotis, Maria

AU - Ercolani, N. M.

AU - Glasgow, S. A.

AU - Moloney, J. V.

N1 - Funding Information: The authors would like to express their appreciation to J. Lega for helpful discussions. The authors would like to acknowledge the support received from NSF Grant DMS-9626306 and AFOSR Grant F49620-94-1-0144.

PY - 2000/4/1

Y1 - 2000/4/1

N2 - We obtain the Lax pair, hierarchy of commuting flows and Bäcklund transformations for a reduced Maxwell-Bloch (RMB) system. This system is of particular interest for the description of unipolar, nonoscillating electromagnetic solitons (also called "electromagnetic bubbles").

AB - We obtain the Lax pair, hierarchy of commuting flows and Bäcklund transformations for a reduced Maxwell-Bloch (RMB) system. This system is of particular interest for the description of unipolar, nonoscillating electromagnetic solitons (also called "electromagnetic bubbles").

KW - Bäcklund transformations

KW - Hierarchy of commuting flows

KW - Lax pair

KW - Maxwell-Bloch equations

UR - https://www.scopus.com/pages/publications/0346054934

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U2 - 10.1016/S0167-2789(99)00168-2

DO - 10.1016/S0167-2789(99)00168-2

M3 - Article

AN - SCOPUS:0346054934

SN - 0167-2789

VL - 138

SP - 134

EP - 162

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole

Abstract

Keywords

ASJC Scopus subject areas

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