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Stationary Propagation of Coupled Nonlinear High Frequency Waves and Ion‐Acoustic Waves in a Plasma
Author(s) -
Baumgärtel K.,
Zchakaja D.
Publication year - 1977
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19770170202
Subject(s) - physics , mach number , ion acoustic wave , supersonic speed , acoustic wave , dispersion (optics) , ion , nonlinear system , plasma , acoustic dispersion , atomic physics , dispersion relation , computational physics , acoustics , mechanics , optics , quantum mechanics
Stationary solutions of the coupled equations for high frequency transverse waves in a plasma and for the low frequency ion motion ( T e ≫ T i ) are investigated numerically. The use of the nonlinear hydrodynamic equations instead of the linear wave equation for ion acoustic waves allows to look for solutions without restrictions of the Mach number M = V / c s ( V group velocity, c s ion acoustic velocity) and the ratio ω/ω pe (ω frequency of the HF‐field, ω pe electron plasma frequency at the undisturbed region). In particular, supersonic soliton‐like solutions with n / n o > 1 were found. Dispersion effects due to charge separation are not included.