scholarly journals Comments on ‘‘Nonlinear evolution of Alfvén waves in a finite beta plasma’’ [Phys. Fluids B 1, 2340 (1989)]

1992 ◽  
Vol 4 (5) ◽  
pp. 1370-1371 ◽  
Author(s):  
Frank Verheest
Keyword(s):  
Nonlinear Evolution ◽  
Alfven Waves ◽  
Plasma Phys ◽  
Alfvén Waves

scholarly journals Properties of Alfvén Solitons in a Finite-Beta Plasma J. Plasma Phys. vol. 27, 1982, p. 193

1984 ◽  
Vol 32 (2) ◽  
pp. 347-347 ◽  
Author(s):  
Steven R. Spangler ◽  
James P. Sheerin
Keyword(s):  
Soliton Solutions ◽  
Alfven Waves ◽  
Plasma Phys ◽  
Alfvén Waves ◽  
Envelope Soliton ◽  
Translational Invariance ◽  
Non Linear ◽  
Image Position

In the aforementioned paper we obtained an equation for non-linear Alfvén waves in a finite-β plasma, and investigated envelope soliton solutions thereof. The purpose of this note is to point out an error in the derivation of the soliton envelopes, and present corrected expressions for these solitons.The error arises from our assumption of translational invariance of both the envelope and phase of an envelope soliton expressed in equations (16) and (17). Rather, the phase is related to the amplitude by where y ≡ x — VEt is a comoving co-ordinate, and all other quantities are defined in the above paper.

Self-interaction of Alfvén waves in a cylindrical waveguide filled with an ideally conducting compressible plasma

1991 ◽  
Vol 45 (1) ◽  
pp. 89-101
Author(s):  
Nagendra Kumar ◽  
Krishna M. Srivastava
Keyword(s):  
Compressible Fluid ◽  
Nonlinear Evolution ◽  
Modulational Instability ◽  
Alfven Waves ◽  
Cylindrical Waveguide ◽  
Radial Mode ◽  
Alfvén Waves ◽  
Nonlinear Behaviour ◽  
Compressible Plasma ◽  
Dependent Frequency

The nonlinear behaviour of azimuthally symmetric Alfvén waves propagating along the axis of a cylindrical ideally conducting compressible fluid-filled waveguide is investigated. It is shown that the nonlinear evolution of such waves is governed by the nonlinear Schrödinger equation. Modulational instability for fundamental (m = 1) radial mode is discussed for α2 = 0·1,0·2, 0·3 and different values of k. The amplitude-dependent frequency and wavenumber shifts are calculated and their variations with wavenumber are shown graphically.

Nonlinear evolution of dispersive Alfvén waves and the effect of magnetic islands in the solar wind plasmas

2020 ◽  
Vol 27 (7) ◽  
pp. 072903
Author(s):  
Swati Sharma ◽  
R. P. Sharma ◽  
M. K. Mishra ◽  
R. Uma
Keyword(s):  
Solar Wind ◽  
Nonlinear Evolution ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Magnetic Islands

Nonlinear evolution of kinetic Alfvén waves and the turbulent spectra

2008 ◽  
Vol 15 (8) ◽  
pp. 082902 ◽  
Author(s):  
R. P. Sharma ◽  
Sachin Kumar ◽  
H. D. Singh
Keyword(s):  
Nonlinear Evolution ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Turbulent Spectra ◽  
Kinetic Alfvén Waves

scholarly journals Nonlinear evolution of torsional Alfvén waves

2012 ◽  
Vol 544 ◽  
pp. A127 ◽  
Author(s):  
S. Vasheghani Farahani ◽  
V. M. Nakariakov ◽  
E. Verwichte ◽  
T. Van Doorsselaere
Keyword(s):  
Nonlinear Evolution ◽  
Alfven Waves ◽  
Alfvén Waves

scholarly journals Ion acceleration by parallel propagating nonlinear Alfvén wave packets in a radially expanding plasma

2014 ◽  
Vol 21 (1) ◽  
pp. 339-346 ◽  
Author(s):  
Y. Nariyuki ◽  
T. Umeda ◽  
T. K. Suzuki ◽  
T. Hada
Keyword(s):  
Nonlinear Evolution ◽  
Interplanetary Space ◽  
Fluid Model ◽  
Wave Packets ◽  
Velocity Distribution Function ◽  
Alfven Waves ◽  
Alfven Wave ◽  
Alfvén Waves ◽  
Radial Evolution ◽  
Kinetic Effects

Abstract. The numerical simulation of the nonlinear evolution of the parallel propagating Alfvén waves in a radially expanding plasma is performed by using a kinetic-fluid model (the Vlasov–MHD model). In our study, both the nonlinear evolution of the Alfvén waves and the radial evolution of the velocity distribution function (VDF) are treated simultaneously. On the other hand, important ion kinetic effects such as ion cyclotron damping and instabilities driven by the non-equilibrium ion velocity distributions are not included in the present model. The results indicate that the steepened Alfvén wave packets outwardly accelerate ions, which can be observed as the beam components in the interplanetary space. The energy of imposed Alfvén waves is converted into the longitudinal fluctuations by the nonlinear steepening and the nonlinear Landau damping. The wave shoaling due to the inhomogeneity of the phase velocity is also observed.

scholarly journals Circular polarized nonlinear Alfvén waves—a new type of nonlinear evolution in plasma physics

1978 ◽  
Vol 8 (1-2) ◽  
pp. 323-332 ◽  
Author(s):  
Miki Wadati ◽  
Heiji Sanuki ◽  
Kimiaki Konno ◽  
Yoshi-Hiko Ichikawa
Keyword(s):  
Plasma Physics ◽  
Nonlinear Evolution ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
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