Comment on 'Evolution of the unidirectional electromagnetic pulses in an anisotropic two-level medium'

Details Comment on 'Evolution of the unidirectional electromagnetic pulses in an anisotropic two-level medium' Comment on 'Evolution of the unidirectional electromagnetic pulses in an anisotropic two-level medium'

2008-08-28

arxiv.org/abs/0808.3963v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

3 pages

Scientific paper

Recently, Zabolotskii [Phys. Rev. E 77, 036603 (2008)] presented the Lax pair for a version of the reduced Maxwell--Bloch equations. This version was derived under considering the unidirectional propagation of a two-component electromagnetic pulse through an anisotropic two-level medium. We demonstrate that his derivation contains essential omission, which led to the wrong version of the reduced Maxwell--Bloch equations. We also point out that the Lax pair for correct version of these equations had been known in the most general anisotropic case.

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