This article is cited in 5 papers

Symmetries of the Maxwell–Bloch Equations with the Rotating Wave Approximation

Ioan Caşu

Departamentul de Matematică, Universitatea de Vest din Timişoara, Bd. V. Pârvan, Nr. 4, 300223 Timişoara, România

Abstract: In this paper a symplectic realization for the Maxwell–Bloch equations with the rotating wave approximation is given, which also leads to a Lagrangian formulation. We show how Lie point symmetries generate a third constant of motion for the dynamical system considered.

Keywords: Maxwell–Bloch equations, symmetries, Hamiltonian dynamics, Lagrangian dynamics.

MSC: 70H03, 70H05, 70H33, 70G65

Received: 23.02.2014
Accepted: 22.04.2014

Language: English

DOI: 10.1134/S1560354714050037

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