On periodic solutions and their modulations for the Manakov system

Abstract

Periodic solutions of the Manakov system are studied with the aim to establish links between recent results of Wright (Physica D 2013 264 1) and Kamchatnov (EPL 2013 103 60003), where the one-phase solutions have been obtained by different methods and with different parameterizations. Two types of waves, which in the context of dynamics of two-component Bose-Einstein condensates can be called density and polarization waves, are determined as particular solutions of the Manakov system. Whitham equations describing modulations of these two types of waves are obtained.

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