Evolution of nonlinear Alfven waves propagating along the magnetic field in a collisionless plasma

Details Evolution of nonlinear Alfven waves propagating along the magnetic field in a collisionless plasma Evolution of nonlinear Alfven waves propagating along the magnetic field in a collisionless plasma

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jplph..28..459k&link_type=abstract

Journal of Plasma Physics, vol. 28, Dec. 1982, p. 459-468.

Physics

Plasma Physics

25

Collisionless Plasmas, Larmor Radius, Magnetic Fields, Magnetohydrodynamic Waves, Wave Propagation, Asymptotic Methods, Hall Effect, Nonlinear Equations, Schroedinger Equation, Solar Wind

Scientific paper

It is shown that the asymptotic evolution of a finite-amplitude Alfven wave propagating parallel to the uniform magnetic field in a warm homogeneous collisionless plasma is governed by the modified nonlinear Schroedinger equation. The dispersion is provided by the ion finite Larmor radius (FLR) effects in the momentum equation and the Hall current and electron pressure corrections to the generalized Ohm's law. In the cold plasma limit the equations reduce to those available in the literature. It is suggested that these calculations can have a bearing on the investigation of the structure of MHD waves in the solar wind.

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