Hamiltonian flows for a reduced Maxwell-Bloch system with permanent dipole
type: Item
instance of: scholarly article
title: Hamiltonian flows for a reduced Maxwell-Bloch system with permanent dipole
zbMATH Open document ID: 1034.78007
DOI: 10.1016/S0167-2789(03)00158-1
author: M. A. Agrotis
published in: Physica D
publication date: 2003-08-17T00:00:00Z
review text: A reduced Maxwell-Bloch (rMB) system is placed in a Lie algebraic framework. A hierarchy of systems in infolution, the first of which is rMB is found.
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 17B81
Mathematics Subject Classification ID: 37N20
Mathematics Subject Classification ID: 78A60
zbMATH DE Number: 1965655
zbMATH Keywords: Maxwell-Bloch equations
zbMATH Keywords: Lie algebras
zbMATH Keywords: conservation laws
zbMATH Keywords: commuting flows
MaRDI profile type: Publication
cites work: The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
cites work: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
cites work: Completely integrable systems, Euclidean Lie algebras, and curves
cites work: Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole
cites work: Q3769641
cites work: The Toda lattice. II. Existence of integrals
cites work: Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
cites work: Kac-Moody Lie algebras and soliton equations. III: Stationary equations associated with \(A_ 1^{(1)}\)
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Systems of Toda type, inverse spectral problems, and representation theory
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description: scientific article; zbMATH DE number 1965655