Dark envelope solitons of fast magnetosonic surface waves in solar flux tubes

Sahyouni, W.; Zhelyazkov, I.; Nenovski, P.

doi:10.1007/bf00146227

Cited by 14 publications

(4 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The formation of sausage solitons in magnetic tubes was first suggested by Roberts & Mangeney (1982). Since then, numerous papers have addressed the soliton formation problem (Merzljakov & Ruderman 1985, 1986; Roberts 1985, 1987; Sahyouni, Zheliazkov & Nenovski 1988; Ofman & Davila 1997; Zhugzhda & Nakariakov 1997; Nakariakov & Roberts 1999; Ballai, Thelen & Roberts 2003; Ruderman 2003; Erdélyi & Fedun 2006; Ryutova & Hagenaar 2007). Most of the studies consider a sausage soliton ( m = 0 mode in magnetic tubes), but no observational support for the theory has been reported yet.…”

Section: Introductionmentioning

confidence: 99%

Propagation of a sausage soliton in the solar lower atmosphere observed by Hinode/SOT

Zaqarashvili

Kukhianidze

Khodachenko

2010

Monthly Notices of the Royal Astronomical Society: Letters

View full text Add to dashboard Cite

Acoustic waves and pulses propagating from the solar photosphere upwards may quickly develop into shocks due to the rapid decrease of atmospheric density. However, if they propagate along a magnetic flux tube, then the non-linear steepening may be balanced by tube dispersion effects. This may result in the formation of a sausage soliton. The aim of this Letter is to report observational evidence of a sausage soliton in the solar chromosphere. A time series of the Ca II H line obtained at the solar limb with the Solar Optical Telescope (SOT) on board Hinode is analysed. Observations show an intensity blob, which propagates from 500 to 1700 km above the solar surface with a mean apparent speed of 35 km s −1 . The speed is much higher than the expected local sound speed, therefore the blob cannot be a simple pressure pulse. The blob speed, length-to-width ratio and relative intensity correspond to a slow sausage soliton propagating along a magnetic tube. The blob width increases with height corresponding to the magnetic tube expansion in the stratified atmosphere. Propagation of the intensity blob may be the first observational evidence of a slow sausage soliton in the solar atmosphere.

show abstract

Section: Introductionmentioning

confidence: 99%

Propagation of a sausage soliton in the solar lower atmosphere observed by Hinode/SOT

Zaqarashvili

Kukhianidze

Khodachenko

2010

Monthly Notices of the Royal Astronomical Society: Letters

View full text Add to dashboard Cite

show abstract

“…Nonlinear waves in the presence of strong dispersion may be subject to modulational instability of narrow-spectrum packets of magnetosonic waves, a process described in terms of the nonlinear Schrödinger equation (see e.g. Sahyouni et al 1988;Nakaryakov et al 1991;Zhelyazkov et al 1994). This effect may take place in the low-frequency (long-wavelength) range of the magnetosonicwave spectrum, when the dispersion arises from the inhomogeneity of the plasma in the transverse direction.…”

Section: Introductionmentioning

confidence: 99%

“…Dvoryakovskii et al (1979) obtained the equation for fast magnetosonic modes in a homogeneous plasma contained in a rigid planar waveguide. Sahyouni et al (1988) showed that fast magnetosonic surface waves in a magnetic slab are stable with respect to modulational instability in the large-wavenumber limit. Their consideration was based upon a derivation of the NSE taking into account the ponderomotive force.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of fast magnetosonic waves ducted by a smooth plasma inhomogeneity

1997

View full text Add to dashboard Cite

The weakly nonlinear dynamics of fast magnetosonic waves ducted by a region of density enhancement in a cold plasma is considered. A self-consistent 2D quasi-hyperbolic equation with quadratic and cubic nonlinearities is derived for perturbations of the transverse component of the plasma velocity. For a wave package with a narrow spectrum, the governing equation is reduced to the nonlinear Schrödinger equation, whose structure is independent of the detailed density profile provided that it has a maximum (to be a potential well for the waves). The derived equation allows us to take into account the effect of the shape and steepness of the density profile on the wave dynamics.

show abstract

“…Sakai and Sonneup [5] have derived model equations which describe the long dispersive Alfven wave driving sound wave. On the other hand the equation governing the evolution of ( 335) the fast wave envelope modulated by a slow wave driven by the ponderomotive force has been derived for a sausage wave travelling along magnetic photospheric slab with rigid walls by Sahyouni et al [6]. Model equations describing dispersive Alfven-magnetosonic waves interaction have been derived by Shukla et al [7].…”

Section: Introductionmentioning

confidence: 99%

Alfvén-Magnetosonic Waves Interaction

Murawski

1992

Acta Phys. Pol. A

View full text Add to dashboard Cite

The nonlinear propagation of the Alfvén and magnetosonic waves in the solar corona is investigated in terms of mode1 equations. Due to viscous effects taken into account the propagation of the Alfven wave itself is governed by a Burgers-type equation. The Alfven waves exhibit a tendency to drive both the slow and fast magnetosonic waves. For this process model equations are a generalization of the Zakharov equations. The propagation of the magnetosonic waves is described by linearized Boussinesq-type equations with ponderomotive terms due to the Alfven wave. Both long and short Alfven waves are considered. Also the limits of the slow and fast modes are investigated. An approximate shock wave solution has been found for a vertically propagating slow mode. Numerical results for the fast mode propagating perpendicular to the magnetic field show the effect of inhomogeneity and pumping on a shock as the solution of the homogeneous Burgers equation.

show abstract

Dark envelope solitons of fast magnetosonic surface waves in solar flux tubes

Cited by 14 publications

References 30 publications

Propagation of a sausage soliton in the solar lower atmosphere observed by Hinode/SOT

Propagation of a sausage soliton in the solar lower atmosphere observed by Hinode/SOT

Nonlinear dynamics of fast magnetosonic waves ducted by a smooth plasma inhomogeneity

Alfvén-Magnetosonic Waves Interaction

Contact Info

Product

Resources

About