Slow solitary waves in multi-layered magnetic structures

Abstract

The propagation of slow sausage surface waves in a multi-layered magnetic configuration is considered. The magnetic configuration consists of a central magnetic slab sandwiched between two identical magnetic slabs (with equilibrium quantities different from those in the central slab) which in turn are embedded between two identical semi-infinite regions. The dispersion equation is obtained in the linear approximation. The nonlinear governing equation describing waves with a characteristic wavelength along the central slab much larger than the slab thickness is derived. Solitary wave solutions to this equation are obtained in the case where these solutions deviate only slightly from the algebraic soliton of the Benjamin–Ono equation.

On the variations of the solar wind magnetic field about the Parker spiral direction

“…Beyond that simple model, a dynamical model of the flux tube behavior in the outflowing solar wind is clearly needed to describe (1) outward Alfvénic‐disturbance propagation owed to reconnection at the foot of the flux tubes and (2) the dynamic response of the network of braided flux tubes as the tubes are distorted in the expanding wind. Early work on the dynamics and stability of such flux tubes [ Parker , 1964; Siscoe , 1970] should be incorporated, as well as modern work on the wave dynamics of the spaghetti of flux tubes in the solar wind [ Berton and Heyvaerts , 1987; Mann et al , 1992; Ruderman et al , 2001; Joarder , 2002; Marcu et al , 2006; Zhelyazkov , 2008].…”

Magnetohydrodynamic modes in a periodic magnetic steady state medium

“…Recently, Díaz & Roberts (2006) studied the propagation of fast MHD oscillations in periodic structures, modelling prominence fibrils. The steepening of linear waves into nonlinear waves (solitons) when dispersion resulted due to periodic structures was studied by Hollweg & Roberts (1984) and Ruderman et al (2001).…”