On periodic solutions and their modulations for the Manakov system
Exactly Solvable and Integrable Systems
2015-06-18 v2
Abstract
Periodic solutions of the Manakov system are studied with the aim to establish links between recent results of Wright (Physica D 2013 {\bf 264} 1) and Kamchatnov (EPL 2013 \textbf{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 {\it density} and {\it polarization} waves, are determined as particular solutions of the Manakov system. Whitham equations describing modulations of these two types of waves are obtained.
Keywords
Cite
@article{arxiv.1401.3828,
title = {On periodic solutions and their modulations for the Manakov system},
author = {A. M. Kamchatnov},
journal= {arXiv preprint arXiv:1401.3828},
year = {2015}
}
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19 pages