Chin. Phys. Lett.  2017, Vol. 34 Issue (3): 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. Abdelwahed1,2**, 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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H. G. Abdelwahed, E. K. El-Shewy, A. A. Mahmoud 2017 Chin. Phys. Lett. 34 035202
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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: 28 February 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.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/34/3/035202       OR      https://cpl.iphy.ac.cn/Y2017/V34/I3/035202
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H. G. Abdelwahed
E. K. El-Shewy
A. A. Mahmoud
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