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Waves of envelopes in electron streams

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Abstract

We study stationary waves of envelopes in a nonrelativistic electron stream on a fixed ion background. It is shown that the velocity of the stationary wave of an envelope is always equal to the velocity of the unperturbed electron stream. In the adiabatic approximation it is found that each perturbation of the envelopes propagates with velocity of the unperturbed stream. The result is of interest for the theory of nonlinear waves in dispersive media.

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 16–23, May–June, 1972.

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Gladun, A.D., Korshunov, S.M. Waves of envelopes in electron streams. J Appl Mech Tech Phys 13, 273–280 (1972). https://doi.org/10.1007/BF00850414

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  • DOI: https://doi.org/10.1007/BF00850414

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