The propagation of weakly nonlinear waves in a plasma including low-pressure cosmic rays

Statistics – Computation

Scientific paper

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Cosmic Plasma, Cosmic Rays, Plasma-Particle Interactions, Thermal Plasmas, Wave Propagation, Computational Astrophysics, Energetic Particles, Nonlinear Evolution Equations

Scientific paper

A multiple-scales method is used to derive an equation describing the time evolution of weakly nonlinear plane waves in a thermal plasma, including low-pressure 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 formation of a discontinuity.

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