Investigation of nonextensivity trapped electrons effect on the solitary ionacoustic wave using fractional Schamel equation
Abstract
Ionacoustic (IA) solitary wave propagation is investigated by solving the fractional Schamel equation (FSE) in a homogenous system of unmagnetized plasma. This plasma consists of the nonextensive trapped electrons and cold fluid ions. The effects of the nonextensive qparameter, electron trapping, and fractional parameter have been studied. The FSE is derived by using the semiinverse and Agrawal's methods. The analytical results show that an increase in the amount of electron trapping and nonextensive qparameter increases the soliton ionacoustic amplitude in agreement with the previously obtained results. However, it is viceversa for the fractional parameter. This feature leads to the fact that the fractional parameter may be used to increase the IA soliton amplitude instead of increasing electron trapping and nonextensive parameters.
 Authors:
 Physics Department, Shahed University, Tehran (Iran, Islamic Republic of)
 Publication Date:
 OSTI Identifier:
 22599904
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; FLUIDS; ION ACOUSTIC WAVES; IONS; SOLITONS; TRAPPED ELECTRONS; TRAPPING; WAVE PROPAGATION
Citation Formats
NazariGolshan, A., Email: nazarigolshan@yahoo.com. Investigation of nonextensivity trapped electrons effect on the solitary ionacoustic wave using fractional Schamel equation. United States: N. p., 2016.
Web. doi:10.1063/1.4960668.
NazariGolshan, A., Email: nazarigolshan@yahoo.com. Investigation of nonextensivity trapped electrons effect on the solitary ionacoustic wave using fractional Schamel equation. United States. doi:10.1063/1.4960668.
NazariGolshan, A., Email: nazarigolshan@yahoo.com. Mon .
"Investigation of nonextensivity trapped electrons effect on the solitary ionacoustic wave using fractional Schamel equation". United States.
doi:10.1063/1.4960668.
@article{osti_22599904,
title = {Investigation of nonextensivity trapped electrons effect on the solitary ionacoustic wave using fractional Schamel equation},
author = {NazariGolshan, A., Email: nazarigolshan@yahoo.com},
abstractNote = {Ionacoustic (IA) solitary wave propagation is investigated by solving the fractional Schamel equation (FSE) in a homogenous system of unmagnetized plasma. This plasma consists of the nonextensive trapped electrons and cold fluid ions. The effects of the nonextensive qparameter, electron trapping, and fractional parameter have been studied. The FSE is derived by using the semiinverse and Agrawal's methods. The analytical results show that an increase in the amount of electron trapping and nonextensive qparameter increases the soliton ionacoustic amplitude in agreement with the previously obtained results. However, it is viceversa for the fractional parameter. This feature leads to the fact that the fractional parameter may be used to increase the IA soliton amplitude instead of increasing electron trapping and nonextensive parameters.},
doi = {10.1063/1.4960668},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}

By using the generalized (r,q) distribution function, the effect of particle trapping on the linear and nonlinear evolution of an ionacoustic wave in an electronion plasma has been discussed. The spectral indices q and r contribute to the highenergy tails and flatness on top of the distribution function respectively. The generalized Kortewegde Vries equations with associated solitary wave solutions for different ranges of parameter r are derived by employing a reductive perturbation technique. It is shown that spectral indices r and q affect the trapping of electrons and subsequently the dynamics of the ion acoustic solitary wave significantly.

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