scholarly journals Self-focusing of Nonlinear Waves in a Relativistic Plasma with Positive and Negative Ions

1994 ◽  
Vol 47 (6) ◽  
pp. 773 ◽  
Author(s):  
Joydeep Mukherjee ◽  
A Roy Chowdhury
Keyword(s):  
Solitary Wave ◽  
Spatial Variation ◽  
Relativistic Electron ◽  
Nonlinear Wave ◽  
Nonlinear Waves ◽  
Mutual Influence ◽  
Negative Ions ◽  
Relativistic Plasma ◽  
Self Focusing ◽  
Reductive Perturbation

We have analysed the phenomenon of self-focusing of nonlinear waves in a relativistic plasma consisting of both positive and negative ions, which are assumed to be hot. We also consider the effect of the inertia of the relativistic electron by treating it dynamically. A modified form of reductive perturbation is used to deduce a nonlinear Schr�dinger equation describing the purely spatial variation of the nonlinear wave. Self-focusing of the wave can be ascertained by analysing the transversal stability of the solitary wave. It is shown that the zones of stability of the wave may become wider due to the mutual influence of various factors present in the plasma, thus favouring the process of self-focusing.

Higher-order corrections to solitary waves in a non-isothermal relativistic plasma with cold ions and two-temperature electrons

1990 ◽  
Vol 44 (2) ◽  
pp. 253-263 ◽  
Author(s):  
A. Roy Chowdhury ◽  
Gobinda Pakira ◽  
S. N. Paul ◽  
K. Roy Chowdhury
Keyword(s):  
Perturbation Theory ◽  
Solitary Wave ◽  
Nonlinear Waves ◽  
Critical Analysis ◽  
Higher Order ◽  
Relativistic Plasma ◽  
Reductive Perturbation ◽  
Two Temperatures ◽  
Higher Order Corrections ◽  
Two Temperature

A critical analysis of nonlinear waves in a non-isothermal relativistic plasma is performed using reductive perturbation theory. The plasma is assumed to contain two-temperature electrons. Higher-order corrections to the solitary wave are also computed, and the variations of the profile with respect to v/c, the two temperatures of the electrons, and the parameters bl, and bn characterising the non-isothermal nature are depicted graphically and com-pared with previous results.

scholarly journals Nonlinear Equation in (2+1) Dimensions for a Plasma with Negative Ions

1996 ◽  
Vol 49 (6) ◽  
pp. 1159
Author(s):  
K Roy Chowdhury ◽  
A Roy Chowdhuy
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Nonlinear Equation ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Negative Ions ◽  
System Of Equations ◽  
Nonlinear Wave Propagation ◽  
Reductive Perturbation ◽  
New Form

A new form of coupled nonlinear evolution equation is derived for a plasma with negative ions in (2+1) dimensions. This system of equations can be considered to be an extension of the usual Davey–Stewartson equation. A modified version of reductive perturbation has been used. It is also shown that this set of equations can sustain both cnoidal type and the usual solitary wave-like solution. Such an equation can have important applications in describing nonlinear wave propagation in a dusty plasma.

Chaos in positive ion–negative ion magnetized plasmas

2020 ◽  
Vol 86 (6) ◽  
Author(s):  
Samiran Ghosh ◽  
Biplab Maity ◽  
Swarup Poria
Keyword(s):  
Nonlinear Wave ◽  
Low Frequency ◽  
Negative Ions ◽  
Dynamical Behaviour ◽  
Negative Ion ◽  
Sound Waves ◽  
Weakly Nonlinear ◽  
Positive Ions ◽  
Experimental Parameters ◽  
Map Analysis

The dynamical behaviour of weakly nonlinear, low-frequency sound waves are investigated in a plasma composed of only positive and negative ions incorporating the effects of a weak external uniform magnetic field. In the plasma model the mass (temperature) of the positive ions is smaller (larger) than that of the negative ions. The dynamics of the nonlinear wave is shown to be governed by a novel nonlinear equation. The stationary plane wave (analytical and numerical) nonlinear analysis on the basis of experimental parameters reveals that the nonlinear wave does have quasi-periodic and chaotic solutions. The Poincarè return map analysis confirms these observed complex structures.

scholarly journals New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
XiaoHua Liu ◽  
CaiXia He
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Sufficient Conditions ◽  
Periodic Wave ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Undetermined Coefficient ◽  
Planar Dynamical Systems

By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained. Under the different parametric values, various sufficient conditions to guarantee the existence of the above solutions are given. With the help of three different undetermined coefficient methods, we investigated the new exact explicit expression of all three bell-shaped solitary wave solutions and one kink solitary wave solutions with nonzero asymptotic value for a coupled nonlinear wave equation. The solutions cannot be deduced from the former references.

scholarly journals Solitary Magnetosonic Waves in Relativistic Plasma

1994 ◽  
Vol 47 (6) ◽  
pp. 757
Author(s):  
Joydeep Mukherjee ◽  
A Roy Chowdhury
Keyword(s):  
Mach Number ◽  
Solitary Wave ◽  
Effective Potential ◽  
Relativistic Plasma ◽  
Two Component ◽  
Component Plasma ◽  
Magnetic Filed

We have analysed the formation of solitary magnetosonic waves propagating in a direction perpendicular to the magnetic filed in a relativistic two component plasma. Our approach is that of the effective potential. Variations of the effective potential and the solitary wave in relation to the Mach number and other parameters are discussed.

Observation of strong self-focusing of an intense relativistic electron beam impinging on a SiO/sub 2/ target

1999 ◽  
Vol 27 (5) ◽  
pp. 1501-1509 ◽  
Author(s):  
C. Vermare ◽  
J.T. Donohue ◽  
J. Labrouche ◽  
P. Le Taillandier de Gabory ◽  
D. Villate
Keyword(s):  
Electron Beam ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Self Focusing
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