Hamiltonian flows for a reduced Maxwell-Bloch system with permanent dipole

DOI10.1016/S0167-2789(03)00158-1zbMath1034.78007MaRDI QIDQ1401540

M. A. Agrotis

Publication date: 17 August 2003

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

conservation lawsLie algebrasMaxwell-Bloch equationscommuting flows

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie (super)algebras to physics, etc. (17B81) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60) Electromagnetic theory (general) (78A25)

Related Items (1)

An integrable reduction of inhomogeneously broadened optical equations

Cites Work

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• Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
• Kac-Moody Lie algebras and soliton equations. III: Stationary equations associated with \(A_ 1^{(1)}\)
• Completely integrable systems, Euclidean Lie algebras, and curves
• Systems of Toda type, inverse spectral problems, and representation theory
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Complete integrability of the reduced Maxwell-Bloch equations with permanent dipole
• Method for Solving the Korteweg-deVries Equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Toda lattice. II. Existence of integrals

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