Symmetries of the Maxwell-Bloch equations with the rotating wave approximation

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 considered dynamical system.

References in corpus (2)

• Symplectic Realizations and Symmetries of a Lotka Volterra Type System
• The stability problem and special solutions for the 5-components Maxwell-Bloch equations

Cited by in corpus (1)

• Applications of nonlocal constants of motion in Lagrangian Dynamics