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

Solar Physics ◽  
1988 ◽  
Vol 115 (1) ◽  
pp. 17-32 ◽  
Author(s):  
W. Sahyouni ◽  
I. Zhelyazkov ◽  
P. Nenovski
Keyword(s):  
Surface Waves ◽  
Solar Flux ◽  
Flux Tubes ◽  
Envelope Solitons

Solitary wave propagation in solar flux tubes

2006 ◽  
Vol 13 (3) ◽  
pp. 032902 ◽  
Author(s):  
Robert Erdélyi ◽  
Viktor Fedun
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Solar Flux ◽  
Flux Tubes

Envelope solitons of surface waves in a plasma column

1987 ◽  
Vol 38 (3) ◽  
pp. 427-437 ◽  
Author(s):  
D. Grozev ◽  
A. Shivarova ◽  
A. D. Boardman
Keyword(s):  
Dispersion Relation ◽  
Surface Waves ◽  
Plasma Column ◽  
Soliton Solutions ◽  
Elliptic Functions ◽  
Nonlinear Dispersion ◽  
Dark Solitons ◽  
Envelope Solitons ◽  
Nonlinear Dispersion Relation ◽  
Universal Procedure

The problem of envelope solitons of surface waves is considered on the basis of results for the nonlinear dispersion relation of the waves in a plasma column. The soliton solutions are derived as particular cases of the general solutions obtained by a universal procedure and expressed in terms of Jacobi elliptic functions. Since the two types of interactions, namely the (ω + ω) – ω and the (ω – ω) + ω interactions (where ω is the frequency of the carrier wave) included in the nonlinear dispersion relation act in opposite ways, existence both of bright and dark solitons is shown to be possible. The effect of the ponderomotive force that in our case is expressed through the contribution of the (ω – ω) + ω interaction leads to the formation of dark solitons. The effect of the losses is also considered.

First Clear Images of Solar Flux Tubes

Science News ◽  
1992 ◽  
Vol 142 (13) ◽  
pp. 198
Author(s):  
K. Hoppe
Keyword(s):  
Solar Flux ◽  
Flux Tubes

scholarly journals Transformation of envelope solitons propagating over a bottom step

2020 ◽  
Author(s):  
Alexey Slunyaev ◽  
Guillaume Ducrozet ◽  
Yury Stepanyants
Keyword(s):  
Surface Waves ◽  
Russian Federation ◽  
Wave Transformation ◽  
Approximate Theory ◽  
Envelope Soliton ◽  
Envelope Solitons ◽  
Approximate Analytical Solutions ◽  
The Russian Federation ◽  
The University ◽  
Bottom Step

<p>The problem of the weakly nonlinear wave transformation on a bottom step is studied analytically and numerically by means of the direct simulation of the Euler equation. It is assumed that the quasi-linear wave packets can be described by the nonlinear Schrödinger equation for surface waves in finite-depth water. The process of wave transformation in the vicinity of the bottom step can be described within the framework of the linear theory and the transformation coefficients (the transmission and reflection coefficients) can be determined by the approximate formula suggested in [1]. The fate of transmitted and reflected wave trains emerging from the incident envelope soliton can be determined with the help of the Inverse Scattering Technique [2, 3].</p><p>The parameters of secondary envelope solitons (their number, amplitudes, and speeds) asymptotically forming in the far-field zone are obtained analytically and compared against the numerically calculated ones, as the functions of the depth drop <em>h</em><sub>2</sub>/<em>h</em><sub>1</sub>, where <em>h</em><sub>1</sub> and <em>h</em><sub>2</sub> are the undisturbed water depths in front of and behind the bottom step, respectively. It is shown that the wave amplitudes can notably increase when the envelope soliton travels from the relatively shallow to much deeper water. The amplitudes of secondary solitons can exceed more than twice the amplitude of the incident wave.</p><p>The direct numerical simulation of envelope soliton transformation was undertaken by means of the High Order Spectral Method [4, 5]. The comparison of approximate analytical solutions with the results of numerical simulations reveals the domains of very good agreement between the data where the approximate theory is applicable. In the meantime, the noticeable disagreement between the approximate nonlinear theory and the direct simulations is found when the theory is inapplicable.</p><p>The research by A.S. is supported by the RFBR grant No. 18-02-00042; he also acknowledges the support from the International Visitor Program of the University of Sydney and is grateful for the hospitality of the University of Southern Queensland. The research of Y.S. was support by the grant of the President of the Russian Federation for State support of scientific research of leading scientific Schools of the Russian Federation NSh-2485.2020.5.</p><p>[1] Kurkin, A.A., Semin, S.V., and Stepanyants, Yu.A., Transformation of Surface Waves over a Bottom Step. Izvestiya, Atmospheric and Oceanic Physics, 2015, Vol. 51, 214–223.</p><p>[2] Zakharov, V.E., Shabat, A.B., Exact theory of two-dimensional self-focussing and one-dimensional self-modulation of waves in nonlinear media. Sov. Phys. JETP, 1972, Vol. 34, 62-69.</p><p>[3] Slunyaev, A., Klein, M., Clauss, G.F., Laboratory and numerical study of intense envelope solitons of water waves: generation, reflection from a wall and collisions. Physics of Fluids, 2017, Vol. 29, 047103.</p><p>[4] West, B.J., Brueckner, K.A., Janda, R.S., Milder, D.M., Milton, R.L., A new numerical method for surface hydrodynamics. J. Geophys. Res., 1987, Vol. 92, 11803-11824.</p><p>[5] Ducrozet, G., Gouin, M., Influence of varying bathymetry in rogue wave occurrence within unidirectional and directional sea-states. J. Ocean Eng. Mar. Energy, 2017, Vol. 3, 309-324.</p>

scholarly journals Wave modes excited by photospheric p-modes and mode conversion in a multi-loop system

2019 ◽  
Vol 625 ◽  
pp. A144 ◽  
Author(s):  
J. M. Riedl ◽  
T. Van Doorsselaere ◽  
I. C. Santamaria
Keyword(s):  
Surface Waves ◽  
Energy Flux ◽  
Acoustic Waves ◽  
Conversion Factor ◽  
Mode Conversion ◽  
Body Waves ◽  
Lower Corona ◽  
Flux Tubes ◽  
The Mean ◽  
Wave Modes

Context. Waves are ubiquitous in the solar corona and there are indications that they are excited by photospheric p-modes. However, it is unclear how p-modes in coronal loops are converted to sausage modes and transverse (kink) modes, which are observed in the corona. Aims. We aim to investigate how those wave modes are excited in the lower corona by photospheric acoustic waves. Methods. We built 3D magnetohydrostatic loop systems with multiple inclinations spanning from the photosphere to the lower corona. We then simulated these atmospheres with the MANCHA code, in which we perturb the equilibrium with a p-mode driver at the bottom of the domain. By splitting the velocity perturbation into components longitudinal, normal, and azimuthal to the magnetic flux surfaces we can study wave behavior. Results. In vertical flux tubes, we find that deformed fast sausage surface waves and slow sausage body waves are excited. In inclined flux tubes fast kink surface waves, slow sausage body waves, and either a fast sausage surface wave or a plane wave are excited. In addition, we calculate a wave conversion factor (0 ≤ C ≤ 1) from acoustic to magnetic wave behavior by taking the ratio of the mean magnetic energy flux to the sum of the mean magnetic and acoustic energy flux and compare it to a commonly used theoretical conversion factor. We find that between magnetic field inclinations of 10° to 30° those two methods lie within 40%. For smaller inclinations the absolute deviation is smaller than 0.1.

scholarly journals SURFACE ALFVÉN WAVES IN SOLAR FLUX TUBES

2012 ◽  
Vol 753 (2) ◽  
pp. 111 ◽  
Author(s):  
M. Goossens ◽  
J. Andries ◽  
R. Soler ◽  
T. Van Doorsselaere ◽  
I. Arregui ◽  
...  
Keyword(s):  
Alfven Waves ◽  
Solar Flux ◽  
Alfvén Waves ◽  
Flux Tubes
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