Ionacoustic waves in a plasma consisting of adiabatic warm ions, nonisothermal electrons, and a weakly relativistic electron beam: Linear and higherorder nonlinear effects
Abstract
The nonlinear propagation of finite amplitude ion acoustic solitary waves in a plasma consisting of adiabatic warm ions, nonisothermal electrons, and a weakly relativistic electron beam is studied via a twofluid model. A multiple scales technique is employed to investigate the nonlinear regime. The existence of the electron beam gives rise to four linear ion acoustic modes, which propagate at different phase speeds. The numerical analysis shows that the propagation speed of two of these modes may become complexvalued (i.e., waves cannot occur) under conditions which depend on values of the beamtobackgroundelectron density ratio {alpha}, the iontofreeelectron temperature ratio {sigma}, and the electron beam velocity v{sub 0}; the remaining two modes remain real in all cases. The basic set of fluid equations are reduced to a Schameltype equation and a linear inhomogeneous equation for the first and secondorder potential perturbations, respectively. Stationary solutions of the coupled equations are derived using a renormalization method. Higherorder nonlinearity is thus shown to modify the solitary wave amplitude and may also deform its shape, even possibly transforming a simple pulse into a Wtype curve for one of the modes. The dependence of the excitation amplitude and of the higherorder nonlinearity potential correction on themore »
 Authors:

 Faculty of Science, Department of Physics, Azerbaijan University of Tarbiat Moallem, 51745406 Tabriz (Iran, Islamic Republic of)
 Center for Plasma Physics (CPP), Department of Physics and Astronomy, Queen's University Belfast, BT7 1 NN Northern Ireland (United Kingdom)
 Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, RuhrUniversitaet Bochum, D44780 Bochum (Germany)
 Publication Date:
 OSTI Identifier:
 21103809
 Resource Type:
 Journal Article
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 15; Journal Issue: 2; Other Information: DOI: 10.1063/1.2836619; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070664X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; ELECTRON BEAMS; ELECTRON DENSITY; ELECTRON TEMPERATURE; ELECTRONS; EQUATIONS; EXCITATION; ION ACOUSTIC WAVES; IONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; PERTURBATION THEORY; PLASMA; RELATIVISTIC RANGE
Citation Formats
EsfandyariKalejahi, A, Kourakis, I, Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, RuhrUniversitaet Bochum, D44780 Bochum, and Shukla, P K. Ionacoustic waves in a plasma consisting of adiabatic warm ions, nonisothermal electrons, and a weakly relativistic electron beam: Linear and higherorder nonlinear effects. United States: N. p., 2008.
Web. doi:10.1063/1.2836619.
EsfandyariKalejahi, A, Kourakis, I, Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, RuhrUniversitaet Bochum, D44780 Bochum, & Shukla, P K. Ionacoustic waves in a plasma consisting of adiabatic warm ions, nonisothermal electrons, and a weakly relativistic electron beam: Linear and higherorder nonlinear effects. United States. https://doi.org/10.1063/1.2836619
EsfandyariKalejahi, A, Kourakis, I, Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, RuhrUniversitaet Bochum, D44780 Bochum, and Shukla, P K. Fri .
"Ionacoustic waves in a plasma consisting of adiabatic warm ions, nonisothermal electrons, and a weakly relativistic electron beam: Linear and higherorder nonlinear effects". United States. https://doi.org/10.1063/1.2836619.
@article{osti_21103809,
title = {Ionacoustic waves in a plasma consisting of adiabatic warm ions, nonisothermal electrons, and a weakly relativistic electron beam: Linear and higherorder nonlinear effects},
author = {EsfandyariKalejahi, A and Kourakis, I and Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, RuhrUniversitaet Bochum, D44780 Bochum and Shukla, P K},
abstractNote = {The nonlinear propagation of finite amplitude ion acoustic solitary waves in a plasma consisting of adiabatic warm ions, nonisothermal electrons, and a weakly relativistic electron beam is studied via a twofluid model. A multiple scales technique is employed to investigate the nonlinear regime. The existence of the electron beam gives rise to four linear ion acoustic modes, which propagate at different phase speeds. The numerical analysis shows that the propagation speed of two of these modes may become complexvalued (i.e., waves cannot occur) under conditions which depend on values of the beamtobackgroundelectron density ratio {alpha}, the iontofreeelectron temperature ratio {sigma}, and the electron beam velocity v{sub 0}; the remaining two modes remain real in all cases. The basic set of fluid equations are reduced to a Schameltype equation and a linear inhomogeneous equation for the first and secondorder potential perturbations, respectively. Stationary solutions of the coupled equations are derived using a renormalization method. Higherorder nonlinearity is thus shown to modify the solitary wave amplitude and may also deform its shape, even possibly transforming a simple pulse into a Wtype curve for one of the modes. The dependence of the excitation amplitude and of the higherorder nonlinearity potential correction on the parameters {alpha}, {sigma}, and v{sub 0} is numerically investigated.},
doi = {10.1063/1.2836619},
url = {https://www.osti.gov/biblio/21103809},
journal = {Physics of Plasmas},
issn = {1070664X},
number = 2,
volume = 15,
place = {United States},
year = {2008},
month = {2}
}