Weakly nonlinear kink-type solitary waves in a fully relativistic plasma

Abstract

A fully and coherent relativistic fluid model derived from the covariant formulation of relativistic fluid equations is used to study small but finite amplitude solitary waves. This approach has the characteristic to be consistent with the relativistic principle and consequently leads to a more general set of equations valid for fully relativistic plasmas with arbitrary Lorentz relativistic factor. A kink-solitary wave solution is outlined. Due to electron relativistic effect, the localized structure may experience either a spreading or a compression. This latter phenomenon (compression) becomes less effective and less noticeable as the relativistic character of the ions becomes important. Our results may be relevant to cosmic relativistic double-layers and relativistic plasma structures that involve energetic plasma flows.

Linear Analyses of Langmuir and EM Waves in Relativistic Hot Plasmas

“…[10,13] Most of the earlier studies ignore completely relativity in the continuity equation or work only in the weak relativity approximation in which the relativistic effects are taken into account making use of a motion equation obtained by simply substituting the velocity of species u by γu in the nonrelativistic Euler's equation. [15] In contrast, the fully and coherent relativistic plasma equations are derived from the covariant formulation of energy-momentum tensor, and can be regarded as fully relativistic in terms of the magnitudes of the speed and temperature of the fluid element. [10,13] In this letter, we analyse the Langmuir and EM waves in relativistic hot plasmas linearly based on the fully and coherent relativistic plasma equations and Maxwell's equations.…”

“…is the enthalpy per fluid particle, m a , T a , n a0 , and α represent the rest mass, the temperature, the unperturbed density, and the polytropic index, [15] respectively. It is worth mentioning that the ratio of h a and m a c 2 can be regarded as the thermal parameter of effective mass increased from the rest mass of the particles.…”