Nonlinear theory of resonant slow waves in anisotropic and dispersive plasmas

TL;DR

This paper extends the nonlinear theory of resonant slow magnetoacoustic waves in anisotropic, dispersive plasmas, such as the solar corona, by including Hall current effects and nonlinear dispersion in the governing equations.

Contribution

It introduces a nonlinear dispersive term into the existing theory of resonant slow waves in anisotropic plasmas, accounting for Hall current effects.

Findings

Derived a nonlinear governing equation with dispersive effects.

Found connection formulae similar to non-dispersive cases.

Expanded understanding of wave dynamics in anisotropic, dispersive plasmas.

Abstract

The solar corona is a typical example of a plasma with strongly anisotropic transport processes. The main dissipative mechanisms in the solar corona acting on slow magnetoacoustic waves are the anisotropic thermal conductivity and viscosity. Ballai et al. [Phys. Plasmas 5, 252 (1998)] developed the nonlinear theory of driven slow resonant waves in such a regime. In the present paper the nonlinear behaviour of driven magnetohydrodynamic waves in the slow dissipative layer in plasmas with strongly anisotropic viscosity and thermal conductivity is expanded by considering dispersive effects due to Hall currents. The nonlinear governing equation describing the dynamics of nonlinear resonant slow waves is supplemented by a term which describes nonlinear dispersion and is of the same order of magnitude as nonlinearity and dissipation. The connection formulae are found to be similar to their non-dispersive counterparts.