Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas

Two-dimensional three-component plasma system consisting of nonextensive electrons, positrons, and relativistic thermal ions is considered. The well-known Kadomtsev-Petviashvili-Burgers and Kadomtsev-Petviashvili equations are derived to study the basic characteristics of small but finite amplitude ion acoustic waves of the plasmas by using the reductive perturbation method. The influences of positron concentration, electron-positron and ion-electron temperature ratios, strength of electron and positrons nonextensivity, and relativistic streaming factor on the propagation of ion acoustic waves in the plasmas are investigated. It is revealed that the electrostatic compressive and rarefactive ion acoustic waves are obtained for superthermal electrons and positrons, but only compressive ion acoustic waves are found and the potential profiles become steeper in case of subthermal positrons and electrons.

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Ion-acoustic shock waves in a degenerate dense plasma

Journal of Plasma Physics ◽

10.1017/s0022377812000700 ◽

2012 ◽

Vol 79 (1) ◽

pp. 65-68 ◽

Cited By ~ 25

Author(s):

M. S. ZOBAER ◽

N. ROY ◽

A. A. MAMUN

Keyword(s):

Acoustic Waves ◽

Dense Plasma ◽

Reductive Perturbation Method ◽

Nonlinear Propagation ◽

Ion Acoustic Waves ◽

Plasma System ◽

Ion Acoustic ◽

Astrophysical Objects ◽

Basic Features ◽

Ion Acoustic Shock Waves

AbstractA theoretical investigation on the nonlinear propagation of ion-acoustic waves in a degenerate dense plasma has been made by employing the reductive perturbation method. The Burger's equation has been derived, and numerically analyzed. The basic features of electrostatic shock structures have been examined. It has been shown that the plasma system under consideration supports the propagation of electrostatic shock structures. The implications of our results (obtained from this investigation) in compact astrophysical objects have been briefly discussed.

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Modulational Instability of Ion-Acoustic Waves and Associated Envelope Solitons in a Multi-Component Plasma

Gases ◽

10.3390/gases1030012 ◽

2021 ◽

Vol 1 (3) ◽

pp. 148-155

Author(s):

Subrata Banik ◽

Nadiya Mehzabeen Heera ◽

Tasfia Yeashna ◽

Md. Rakib Hassan ◽

Rubaiya Khondoker Shikha ◽

...

Keyword(s):

Acoustic Waves ◽

Modulational Instability ◽

Reductive Perturbation Method ◽

Ion Temperature ◽

Ion Acoustic Waves ◽

Stable Domain ◽

Laboratory Plasmas ◽

Electrons And Positrons ◽

Ion Acoustic ◽

Component Plasma

A generalized plasma model with inertial warm ions, inertialess iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear Schrödinger equation is derived by applying the reductive perturbation method. It is observed that the stable domain of the IAWs decreases with ion temperature but increases with electron temperature. It is also found that the stable domain increases by increasing (decreasing) the electron (ion) number density. The present results will be useful in understanding the conditions for MI of IAWs which are relevant to both space and laboratory plasmas.

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Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons

Advances in Mathematical Physics ◽

10.1155/2012/529121 ◽

2012 ◽

Vol 2012 ◽

pp. 1-12

Author(s):

S. A. El-Wakil ◽

Essam M. Abulwafa ◽

E. K. El-Shewy ◽

H. G. Abdelwahed ◽

Hamdi M. Abd-El-Hamid

Keyword(s):

Acoustic Waves ◽

Kdv Equation ◽

Algebraic Method ◽

Finite Amplitude ◽

Reductive Perturbation Method ◽

Relativistic Plasma ◽

Plasma Parameters ◽

Ion Acoustic Waves ◽

Ion Acoustic ◽

Weakly Relativistic Plasma

The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small- but finite-amplitude electrostatic ion-acoustic waves in weakly relativistic plasma consisting of warm ions and isothermal electrons. An algebraic method with computerized symbolic computation is applied in obtaining a series of exact solutions of the KdV equation. Numerical studies have been made using plasma parameters which reveal different solutions, that is, bell-shaped solitary pulses, rational pulses, and solutions with singularity at finite points, which called “blowup” solutions in addition to the propagation of an explosive pulses. The weakly relativistic effect is found to significantly change the basic properties (namely, the amplitude and the width) of the ion-acoustic waves. The result of the present investigation may be applicable to some plasma environments, such as ionosphere region.

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Higher order contributions to ion acoustic solitary waves in a plasma consisting of warm ions and nonisothermal electrons

Canadian Journal of Physics ◽

10.1139/p82-057 ◽

1982 ◽

Vol 60 (4) ◽

pp. 392-396 ◽

Cited By ~ 12

Author(s):

M. K. Kalita ◽

S. Bujarbarua

Keyword(s):

Acoustic Waves ◽

Solitary Wave Solution ◽

Reductive Perturbation Method ◽

Electron Velocity ◽

Nonlinear Propagation ◽

Third Order ◽

Ion Acoustic Waves ◽

Electron Velocity Distribution ◽

The Third ◽

Ion Acoustic

Considering the electron velocity distribution far from Maxwellian, we have investigated the nonlinear propagation of ion acoustic waves in a plasma consisting of warm ions. The solitary wave solution has been obtained for this case retaining terms up to the third order in the usual reductive perturbation method.

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Modulational Instability of Ion-Acoustic Waves in Pair-Ion Plasma

Plasma ◽

10.3390/plasma5010001 ◽

2021 ◽

Vol 5 (1) ◽

pp. 1-11

Author(s):

Sharmin Jahan ◽

Rubaiya Khondoker Shikha ◽

Abdul Mannan ◽

A A Mamun

Keyword(s):

Acoustic Waves ◽

Modulational Instability ◽

Thermal Parameter ◽

Reductive Perturbation Method ◽

Unstable State ◽

Plasma Parameters ◽

Ion Acoustic Waves ◽

Stable Domain ◽

Ion Acoustic ◽

Component Plasma

The modulational instability (MI) of ion-acoustic waves (IAWs) is examined theoretically in a four-component plasma system containing inertialess electrons featuring a non-thermal, non-extensive distribution, iso-thermal positrons, and positively as well as negatively charged inertial ions. In this connection, a non-linear Schrödinger equation (NLSE), which dominates the conditions for MI associated with IAWs, is obtained by using the reductive perturbation method. The numerical analysis of the NLSE reveals that the increment in non-thermality leads to a more unstable state, whereas the enhancement in non-extensivity introduces a less unstable state. It also signifies the bright (dark) ion-acoustic (IA) envelope solitons mode in the unstable (stable) domain. The conditions for MI and its growth rate in the unstable regime of the IAWs are vigorously modified by the different plasma parameters (viz., non-thermal, non-extensive q-distributed electron, iso-thermal positron, the ion charge state, the mass of the ion and positron, non-thermal parameter α, the temperature of electron and positron, etc.). Our findings may supplement and add to prior research in non-thermal, non-extensive electrons and iso-thermal positrons that can co-exist with positive as well as negative inertial ions.

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Ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons

Open Physics ◽

10.1515/phys-2018-0073 ◽

2018 ◽

Vol 16 (1) ◽

pp. 563-567 ◽

Cited By ~ 2

Author(s):

Jianyong Wang ◽

Ying Zeng ◽

Zufeng Liang ◽

Yani Xu ◽

Yuanxiang Zhang

Keyword(s):

Acoustic Waves ◽

Vries Equation ◽

Reductive Perturbation Method ◽

Superthermal Electrons ◽

Ion Plasma ◽

Electron Positron ◽

Electrons And Positrons ◽

Ion Acoustic ◽

De Vries ◽

Superthermal Electrons And Positrons

Abstract In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing equations of ion acoustic waves. An interesting soliton-cnoidal wave solution of the Korteweg-de Vries equation and its quasi-soliton behaviour are presented. The influence of electron superthermality, positron superthermality and positron concentration ratio on characteristics of the quasi-soliton is confirmed to be significant.

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