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

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 demonstr...

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Bibliographic Details
Published inarXiv.org
Main Author Ustinov, N V
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.08.2008
Subjects
Anisotropy
Electromagnetic pulses
Mathematical analysis
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Summary: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.
ISSN:2331-8422