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Title: Time fractional effect on ion acoustic shock waves in ion-pair plasma

Abstract

The nonlinear properties of ion acoustic shock waves are studied. The Burgers equation is derived and converted into the time fractional Burgers equation by Agrawal’s method. Using the Adomian decomposition method, shock wave solutions of the time fractional Burgers equation are constructed. The effect of the time fractional parameter on the shock wave properties in ion-pair plasma is investigated. The results obtained may be important in investigating the broadband electrostatic shock noise in D- and F-regions of Earth’s ionosphere.

Authors:
 [1]; ;  [2]
  1. Prince Sattam Bin Abdulaziz University, College of Science and Humanitarian Studies, Physics Department (Saudi Arabia)
  2. Faculty of Science, Mansoura University, Theoretical Physics Group, Physics Department (Egypt)
Publication Date:
OSTI Identifier:
22617238
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 122; Journal Issue: 6; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ACOUSTICS; COMPUTERIZED SIMULATION; DECOMPOSITION; ELECTROSTATICS; EQUATIONS; F REGION; ION PAIRS; NOISE; NONLINEAR PROBLEMS; PLASMA; SHOCK WAVES

Citation Formats

Abdelwahed, H. G., E-mail: hgomaa-eg@hotmail.com, El-Shewy, E. K., and Mahmoud, A. A. Time fractional effect on ion acoustic shock waves in ion-pair plasma. United States: N. p., 2016. Web. doi:10.1134/S1063776116050149.
Abdelwahed, H. G., E-mail: hgomaa-eg@hotmail.com, El-Shewy, E. K., & Mahmoud, A. A. Time fractional effect on ion acoustic shock waves in ion-pair plasma. United States. doi:10.1134/S1063776116050149.
Abdelwahed, H. G., E-mail: hgomaa-eg@hotmail.com, El-Shewy, E. K., and Mahmoud, A. A. 2016. "Time fractional effect on ion acoustic shock waves in ion-pair plasma". United States. doi:10.1134/S1063776116050149.
@article{osti_22617238,
title = {Time fractional effect on ion acoustic shock waves in ion-pair plasma},
author = {Abdelwahed, H. G., E-mail: hgomaa-eg@hotmail.com and El-Shewy, E. K. and Mahmoud, A. A.},
abstractNote = {The nonlinear properties of ion acoustic shock waves are studied. The Burgers equation is derived and converted into the time fractional Burgers equation by Agrawal’s method. Using the Adomian decomposition method, shock wave solutions of the time fractional Burgers equation are constructed. The effect of the time fractional parameter on the shock wave properties in ion-pair plasma is investigated. The results obtained may be important in investigating the broadband electrostatic shock noise in D- and F-regions of Earth’s ionosphere.},
doi = {10.1134/S1063776116050149},
journal = {Journal of Experimental and Theoretical Physics},
number = 6,
volume = 122,
place = {United States},
year = 2016,
month = 6
}
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