Slowly varying nonlinear waves in a cold plasma stream
Abstract
This paper is concerned with the propagation of onedimensional nonlinear waves in the relatively simple physical situation of a cold, collisionless, fieldfree, slightly nonuniform plasma comprising a stream of oscillating electrons and a stream of ions whose oscillatory motion is neglected. The waves are considered as a small perturbation from the corresponding uniform periodic solution. The equations which govern the slow variation of certain gross quantities associated with the waves are obtained by applying the ‘twotiming’ technique to the basic plasma equations. The properties of the resulting modulation equations are discussed and an exact solution of an initial value problem for them is given.
 Publication:

Journal of Plasma Physics
 Pub Date:
 December 1977
 DOI:
 10.1017/S0022377800023539
 Bibcode:
 1977JPlPh..18..495G
 Keywords:

 Amplitude Modulation;
 Cold Plasmas;
 Collisionless Plasmas;
 Electron Oscillations;
 Plasma Waves;
 Magnetohydrodynamic Stability;
 Nonlinear Equations;
 Nonuniform Plasmas;
 Perturbation Theory;
 Wave Dispersion;
 Wave Equations;
 Plasma Physics