Electron-acoustic solitary potential in nonextensive streaming plasma

Abstract The linear/nonlinear propagation characteristics of electron-acoustic (EA) solitons are examined in an electron-ion (EI) plasma that contains negative superthermal (dynamical) electrons as well as positively charged ions. By employing the magnetic hydrodynamic (MHD) equations and with the a...

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Main Authors: Khalid Khan, Obaid Algahtani, Muhammad Irfan, Amir Ali
Format: Article
Language:English
Published: Nature Portfolio 2022-09-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-19206-4
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author Khalid Khan
Obaid Algahtani
Muhammad Irfan
Amir Ali
author_facet Khalid Khan
Obaid Algahtani
Muhammad Irfan
Amir Ali
author_sort Khalid Khan
collection DOAJ
description Abstract The linear/nonlinear propagation characteristics of electron-acoustic (EA) solitons are examined in an electron-ion (EI) plasma that contains negative superthermal (dynamical) electrons as well as positively charged ions. By employing the magnetic hydrodynamic (MHD) equations and with the aid of the reductive perturbation technique, a Korteweg-de-Vries (KdV) equation is deduced. The latter admits soliton solution suffering from the superthermal electrons and the streaming flow. The utility of the modified double Laplace decomposition method (MDLDM) leads to approximate wave solutions associated with higher-order perturbation. By imposing finite perturbation on the stationary solution, and with the aid of MDLDM, we have deduced series solution for the electron-acoustic excitations. The latter admits instability and subsequent deformation of the wave profile and can’t be noticed in the KdV theory. Numerical analysis reveals that thermal correction due to superthermal electrons reduces the dimensionless phase speed $$(\bar{U}_{ph})$$ ( U ¯ ph ) for EA wave. Moreover, a random motion spread out the dynamical electron fluid and therefore, gives rise to $$\bar{U}_{ph}$$ U ¯ ph . A degree enhancement in temperature of superthermal (dynamical) electrons tappers of (increase) the wave steeping and the wave dispersion, enhancing (reducing) the pulse amplitude and the spatial extension of the EA solitons. Interestingly, the approximate wave solution suffers oscillation that grows in time. Our results are important for understanding the coherent EA excitation, associated with the streaming effect of electrons in the EI plasma being relevant to the earth’s magnetosphere, the ionosphere, the laboratory facilities, etc.
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spelling doaj.art-a01e59f0ca474d4f9bd64905047338052022-12-22T04:24:52ZengNature PortfolioScientific Reports2045-23222022-09-0112111610.1038/s41598-022-19206-4Electron-acoustic solitary potential in nonextensive streaming plasmaKhalid Khan0Obaid Algahtani1Muhammad Irfan2Amir Ali3Department of Mathematics, University of MalakandDepartment of Mathematics, College of Sciences, King Saud UniversityDepartment of Physics, University of MalakandDepartment of Mathematics, University of MalakandAbstract The linear/nonlinear propagation characteristics of electron-acoustic (EA) solitons are examined in an electron-ion (EI) plasma that contains negative superthermal (dynamical) electrons as well as positively charged ions. By employing the magnetic hydrodynamic (MHD) equations and with the aid of the reductive perturbation technique, a Korteweg-de-Vries (KdV) equation is deduced. The latter admits soliton solution suffering from the superthermal electrons and the streaming flow. The utility of the modified double Laplace decomposition method (MDLDM) leads to approximate wave solutions associated with higher-order perturbation. By imposing finite perturbation on the stationary solution, and with the aid of MDLDM, we have deduced series solution for the electron-acoustic excitations. The latter admits instability and subsequent deformation of the wave profile and can’t be noticed in the KdV theory. Numerical analysis reveals that thermal correction due to superthermal electrons reduces the dimensionless phase speed $$(\bar{U}_{ph})$$ ( U ¯ ph ) for EA wave. Moreover, a random motion spread out the dynamical electron fluid and therefore, gives rise to $$\bar{U}_{ph}$$ U ¯ ph . A degree enhancement in temperature of superthermal (dynamical) electrons tappers of (increase) the wave steeping and the wave dispersion, enhancing (reducing) the pulse amplitude and the spatial extension of the EA solitons. Interestingly, the approximate wave solution suffers oscillation that grows in time. Our results are important for understanding the coherent EA excitation, associated with the streaming effect of electrons in the EI plasma being relevant to the earth’s magnetosphere, the ionosphere, the laboratory facilities, etc.https://doi.org/10.1038/s41598-022-19206-4
spellingShingle Khalid Khan
Obaid Algahtani
Muhammad Irfan
Amir Ali
Electron-acoustic solitary potential in nonextensive streaming plasma
Scientific Reports
title Electron-acoustic solitary potential in nonextensive streaming plasma
title_full Electron-acoustic solitary potential in nonextensive streaming plasma
title_fullStr Electron-acoustic solitary potential in nonextensive streaming plasma
title_full_unstemmed Electron-acoustic solitary potential in nonextensive streaming plasma
title_short Electron-acoustic solitary potential in nonextensive streaming plasma
title_sort electron acoustic solitary potential in nonextensive streaming plasma
url https://doi.org/10.1038/s41598-022-19206-4
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