Relativistic theory of Alfven solitons

Details Relativistic theory of Alfven solitons Relativistic theory of Alfven solitons

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987afz....27..347d&link_type=abstract

Astrofizika (ISSN 0571-7132), vol. 27, Oct. 1987, p. 347-357. In Russian.

Astronomy and Astrophysics

Astronomy

Cosmic Plasma, Nonuniform Plasmas, Plasma Waves, Relativistic Theory, Solitary Waves, Collisionless Plasmas, Differential Equations, Pulsars, Schroedinger Equation

Scientific paper

The authors have considered a collisionless magnetoactive electron-ion plasma in which the propagation of an Alfvén wave with large amplitude results in relativistically high velocities of the plasma components, comparable with the light velocity (a possible situation for the plasma of a number of cosmic objects). It is shown that the nonlinear stage of the Alfvén wave propagation can be described by the Schrödinger equation with nonlinearity of the derivative complemented by nonzero boundary conditions at infinity. Simple soliton structures as well as simple-wave-type solutions of this equation are considered. It has been shown that relativistic effects strongly influence the process of formation of nonlinear waves in a plasma.

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