Multidimensional instability of electron-acoustic solitary waves in a magnetized plasma with vortexlike electron distribution

2008 ◽  
Vol 15 (10) ◽  
pp. 102111 ◽  
Author(s):  
M. G. M. Anowar ◽  
A. A. Mamun
Keyword(s):  
Solitary Waves ◽  
Electron Distribution ◽  
Magnetized Plasma ◽  
Electron Acoustic

Small amplitude nonlinear electron acoustic solitary waves in weakly magnetized plasma

2013 ◽  
Vol 20 (1) ◽  
pp. 012113 ◽  
Author(s):  
Manjistha Dutta ◽  
Samiran Ghosh ◽  
Rajkumar Roychoudhury ◽  
Manoranjan Khan ◽  
Nikhil Chakrabarti
Keyword(s):  
Solitary Waves ◽  
Small Amplitude ◽  
Magnetized Plasma ◽  
Electron Acoustic

Electron acoustic solitary waves in a magnetized plasma with nonthermal electrons and an electron beam

2016 ◽  
Vol 23 (8) ◽  
pp. 082310 ◽  
Author(s):  
S. V. Singh ◽  
S. Devanandhan ◽  
G. S. Lakhina ◽  
R. Bharuthram
Keyword(s):  
Electron Beam ◽  
Solitary Waves ◽  
Magnetized Plasma ◽  
Nonthermal Electrons ◽  
Electron Acoustic

scholarly journals Weakly nonlinear waves in magnetized plasma with a slightly non-Maxwellian electron distribution. Part 1. Stability of solitary waves

2007 ◽  
Vol 73 (2) ◽  
pp. 215-229 ◽  
Author(s):  
M.A. ALLEN ◽  
S. PHIBANCHON ◽  
G. ROWLANDS
Keyword(s):  
Growth Rate ◽  
Solitary Waves ◽  
Nonlinear Waves ◽  
Electron Distribution ◽  
Maximum Growth ◽  
Maximum Growth Rate ◽  
Magnetized Plasma ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Waves ◽  
Stability Of Solitary Waves

Abstract.Weakly nonlinear waves in strongly magnetized plasma with slightly non-isothermal electrons are governed by a modified Zakharov–Kuznetsov (ZK) equation, containing both quadratic and half-order nonlinear terms, which we refer to as the Schamel–Korteweg–de Vries–Zakharov–Kuznetsov (SKdVZK) equation. We present a method to obtain an approximation for the growth rate, γ, of sinusoidal perpendicular perturbations of wavenumber, k, to SKdVZK solitary waves over the entire range of instability. Unlike for (modified) ZK equations with one nonlinear term, in this method there is no analytical expression for kc, the cut-off wavenumber (at which the growth rate is zero) or its corresponding eigenfunction. We therefore obtain approximate expressions for these using an expansion parameter, a, related to the ratio of the nonlinear terms. The expressions are then used to find γ for k near kc as a function of a. The approximant derived from combining these analytical results with the ones for small k agrees very well with the values of γ obtained numerically. It is found that both kc and the maximum growth rate decrease as the electron distribution becomes progressively less peaked than the Maxwellian. We also present new algebraic and rarefactive solitary wave solutions to the equation.

Comment on ‘Electron acoustic super solitary waves in a magnetized plasma’, J. Plasma Phys. 84, 905840406 (2018)

2019 ◽  
Vol 85 (1) ◽  
Author(s):  
Frank Verheest ◽  
Manfred A. Hellberg
Keyword(s):  
Magnetic Field ◽  
Solitary Waves ◽  
Static Magnetic Field ◽  
Plasma Phys ◽  
Magnetized Plasma ◽  
Magnetized Plasmas ◽  
Plasma Model ◽  
Electron Acoustic ◽  
Nonlinear Solitary Waves ◽  
Ion Species

The plasma model used in a recent paper by Kamalam et al. (J. Plasma Phys., vol. 84, 2018, 905840406) assumes a Boltzmann description for two hot ion species, in the presence of two adiabatic (fluid) electron species, for the study of obliquely propagating acoustic-type nonlinear solitary waves with respect to a static magnetic field. We argue that the assumption of Boltzmann distributions for the hot ions is incorrect, thus invalidating their conclusions, in particular about the possible occurrence of supersolitons in magnetized plasmas.

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