On the Time Fractional Modulation for Electron Acoustic Shock Waves

doi:10.1088/0256-307X/34/3/035202

Chin.Phys.Lett.

2017, Vol. 34

Issue (03): 035202 DOI: 10.1088/0256-307X/34/3/035202

PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES

On the Time Fractional Modulation for Electron Acoustic Shock Waves

H. G. Abdelwahed^1,2**, E. K. El-Shewy², A. A. Mahmoud²

¹College of Science and Humanity Studies Al-Kharj, Department of Physics, Prince Sattam Bin Abdulaziz University, Kingdom of Saudi Arabia
²Theoretical Physics Group, Department of Physics, Faculty of Science, Mansoura University, Mansoura, Egypt

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Abstract Nonlinear features of electron-acoustic shock waves are studied. The Burgers equation is derived and converted to the time fractional Burgers equation by Agrawal's method. Using the Adomian decomposition method, the shock wave solutions of the time fractional Burgers equation are constructed. The effect of time fractional parameter on the shock wave properties in auroral plasma is investigated.

Received: 14 November 2016 Published: 14 March 2017

PACS:	52.30.-q	(Plasma dynamics and flow)
	05.45.Df	(Fractals)
	52.35.Fp	(Electrostatic waves and oscillations (e.g., ion-acoustic waves))
	52.27.Lw	(Dusty or complex plasmas; plasma crystals)

Fund: Supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under Grant No 2016/01/6239.

Issue Date: 14 March 2017

Cite this article:

H. G. Abdelwahed,E. K. El-Shewy,A. A. Mahmoud 2017 Chin.Phys.Lett. 34 035202

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http://cpl.iphy.ac.cn/newweb/10.1088/0256-307X/34/3/035202 OR http://cpl.iphy.ac.cn/newweb/Y2017/V34/I03/035202

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	H. G. Abdelwahed
	E. K. El-Shewy
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