Abstract
A non-linear Schrödinger equation which characterizes the non-linear electrostatic waves in collisionless turbulent plasma is derived. Detailed analysis of this equation for the non-linear Langmuir waves is presented to show how the ion dynamics affects the envelope behaviour of these waves. Necessary condition for the existence of Langmuir envelope solitons is found to bek 2λ 2D ≲(m/M);k being the characteristic wave number, λD the electron Debye length andm andM the electron and the proton mass.
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Paper dedicated to Professor Hannes Alfvén on the occasion of his 70th birthday, 30 May, 1978.
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Buti, B. Kinetic envelope solitons in turbulent plasmas. Astrophys Space Sci 55, 85–92 (1978). https://doi.org/10.1007/BF00642581
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DOI: https://doi.org/10.1007/BF00642581