Abstract
The inverse scattering transform for Manakov’s system is formulated in a covariant form. This leads immediately to a description of the polarization using Fedorov’s beam tensor. New polarizational conservation laws are formulated with the help of this tensor. Such laws may be written for other integrable vector evolutional equations.
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Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 74, No. 4, pp. 465–472, July–August, 2007.
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Barkovskii, L.M., Kochetkov, S.M. Fedorov’s beam tensor in solitonic conservation laws. J Appl Spectrosc 74, 514–523 (2007). https://doi.org/10.1007/s10812-007-0082-z
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DOI: https://doi.org/10.1007/s10812-007-0082-z