The Propagation of Weakly Nonlinear Waves in a Plasma Including Low Pressure CosmicRays
Abstract
A multiplescales method is used to derive an equation describing the time evolution of weakly nonlinear plane waves in a thermal plasma, including lowpressure cosmic rays. The shock formation problem as result of nonlinear steepening is examined in detail. It is shown that a wave whose wavelength exceeds a certain limit will be damped without the formatin of a discontinuity.
 Publication:

Astrophysics and Space Science
 Pub Date:
 February 1990
 DOI:
 10.1007/BF00658823
 Bibcode:
 1990Ap&SS.164..183C
 Keywords:

 Cosmic Plasma;
 Cosmic Rays;
 PlasmaParticle Interactions;
 Thermal Plasmas;
 Wave Propagation;
 Computational Astrophysics;
 Energetic Particles;
 Nonlinear Evolution Equations;
 Astrophysics