Symmetries of maxwell-bloch equations

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Abstract

We study symmetries of the real Maxwell-Bloch equations. We give a Lax pair, bi-Hamiltonian formulations and we find a symplectic realization of the system. We have also constructed a hierarchy of master symmetries which is used to generate nonlinear Poisson brackets. In addition we have calculated the classical Lie point symmetries and variational symmetries. © 1995 by Mathematical Ukraina Publisher.

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Damianou, P. A., & Paschali, P. G. (1995). Symmetries of maxwell-bloch equations. Journal of Nonlinear Mathematical Physics, 2(3–4), 269–277. https://doi.org/10.2991/jnmp.1995.2.3-4.6

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