Solution of the reduced anisotropic Maxwell-Bloch equations by using the Riemann-Hilbert problem.
We develop a method of solution for recently found integrable system of the reduced Maxwell-Bloch equations with two components of polarization and with an anisotropic dipole momentum by using the appropriate modification of the inverse scattering transform. The method is based on solution of the Riemann-Hilbert problem with taking into account symmetry properties of corresponding fundamental solutions. We show that these symmetries lead to some particular forms of the inverse scattering transform equations which may be used for finding as soliton-type as radiation-type solutions.
Zabolotskii
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Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, 630090 Novosibirsk, Russia. zabolotskii@iae.nsk.su