Ion acoustic soliton in weakly relativistic magnetized electron–positron–ion plasma

2009 ◽  
Vol 87 (8) ◽  
pp. 861-866 ◽  
Author(s):  
Tarsem Singh Gill ◽  
Amandeep Singh Bains ◽  
Narsehpal Singh Saini
Keyword(s):  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Ion Plasma ◽  
Electron Positron ◽  
Relativistic Factor ◽  
Ion Acoustic ◽  
Warm Plasma ◽  
Ion Acoustic Soliton

A theoretical investigation was made for the ion acoustic wave in a weakly relativistic magnetized electron-positron-ion warm plasma. A Korteweg-de vries equation (KdV) is derived by using a standard reductive perturbation method. It is found that the presence of ion temperature (σ), ratios of positron-to-electron density (β), electron-to-positron temperature (α), and relativistic factor (Ur) significantly modify solitonic behavior. The authors observed that these parameters considerably change the amplitude and width of the solitary wave.

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

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 563-567 ◽  
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.

Electron–positron–ion plasma with kappa distribution: Ion acoustic soliton propagation

2010 ◽  
Vol 374 (31-32) ◽  
pp. 3216-3219 ◽  
Author(s):  
E.I. El-Awady ◽  
S.A. El-Tantawy ◽  
W.M. Moslem ◽  
P.K. Shukla
Keyword(s):  
Kappa Distribution ◽  
Soliton Propagation ◽  
Ion Plasma ◽  
Electron Positron ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton

Quantum ion–acoustic shock waves in warm dissipative electron–positron–ion plasmas with relativistic ions

2011 ◽  
Vol 89 (9) ◽  
pp. 961-965 ◽  
Author(s):  
Hamid Reza Pakzad
Keyword(s):  
Shock Waves ◽  
Reductive Perturbation Method ◽  
Quantum Plasma ◽  
Ion Temperature ◽  
Bohm Potential ◽  
Positive Ions ◽  
Electron Positron ◽  
Ion Acoustic ◽  
Nonlinear Quantum ◽  
Ion Acoustic Shock Waves

Propagation of nonlinear quantum ion–acoustic shock waves in dense quantum plasma, whose constituents are electrons, positrons, and positive ions, is investigated using a quantum hydrodynamical model. Moreover, it is assumed that ion velocity is weakly relativistic. Also, we consider the effects of kinematic viscosity among the plasma constituents. By using reductive perturbation method, the Korteweg – de Vries – Burger equation is derived. The effects of relativistic ions, ion temperature, and the quantum Bohm potential on the shock waves are reported in this paper.

Arbitrary-amplitude theory of ion-acoustic solitons in warm multi-fluid plasmas

1989 ◽  
Vol 41 (2) ◽  
pp. 341-353 ◽  
Author(s):  
S. Baboolal ◽  
R. Bharuthram ◽  
M. A. Hellberg
Keyword(s):  
Stationary Wave ◽  
Ion Concentration ◽  
Ion Temperature ◽  
Ion Plasma ◽  
Numerical Theory ◽  
Ion Acoustic ◽  
Wave Forms ◽  
Ion Acoustic Solitons ◽  
Arbitrary Amplitude ◽  
Ion Acoustic Soliton

A recently described numerical theory for obtaining the Sagdeev and real potential profiles of stationary wave forms in a plasma consisting of double-Maxwellian electrons and two or more species of warm ions is used for the study of solitons in such a plasma. The effects of ion temperature and light-ion concentration on rarefactive ion-acoustic soliton profiles in a double-ion plasma obtained with this large-amplitude theory are compared with those predicted from a Korteweg–de Vries equation. Application of the theory to the work of Nakamura and co-workers is discussed, and we draw attention to ion thermal effects.

Oblique propagation of ion acoustic soliton-cnoidal waves in a magnetized electron-positron-ion plasma with superthermal electrons

2014 ◽  
Vol 21 (3) ◽  
pp. 032111 ◽  
Author(s):  
Jian-Yong Wang ◽  
Xue-Ping Cheng ◽  
Xiao-Yan Tang ◽  
Jian-Rong Yang ◽  
Bo Ren
Keyword(s):  
Superthermal Electrons ◽  
Cnoidal Waves ◽  
Oblique Propagation ◽  
Ion Plasma ◽  
Electron Positron ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton

Effect of ion temperature on ion-acoustic solitons in a two-ion warm plasma with adiabatic positive and negative ions and isothermal electrons

1986 ◽  
Vol 36 (2) ◽  
pp. 301-312 ◽  
Author(s):  
S. G. Tagare
Keyword(s):  
Acoustic Wave ◽  
Vries Equation ◽  
Collisionless Plasma ◽  
Negative Ions ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Basic Set ◽  
Ion Acoustic ◽  
De Vries ◽  
Ion Acoustic Solitons

Ion-acoustic solitons in a collisionless plasma with adiabatic positive and negative ions with equal ion temperature and isothermal electrons are studied by using the reductive perturbation method. The basic set of fluid equations is reduced for the fast ion-acoustic wave to the Korteweg–de Vries and modified Korteweg–de Vries equation and for the slow ion-acoustic wave to the Korteweg–de Vries equation. Stationary solutions of these equations are obtained and the effect of ion temperature on fast and slow ion-acoustic solitons is investigated.

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