On Time-Fractional Cylindrical Nonlinear Equation
H. G. Abdelwahed1** , E. K. ElShewy2 , A. A. Mahmoud2
1 College of Science and Humanitarian Studies, Physics Department, Prince Sattam Bin Abdul Aziz University, Kingdom of Saudi Arabia2 Theoretical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Abstract ：Properties of cylindrical electron acoustic solitons are studied in vortex plasmas. The modified cylindrical Korteweg–de Vries (KdV) equation is acquired and converted into the time fractional cylindrical modified KdV equation by Agrawal's analysis. Via the Adomian decomposition method, a cylindrical soliton solution to the equation is obtained. The cylindrical time fractional effect on the wave properties is investigated. Further, the increase of the fractional order of time $\alpha$ and hot to trapped electrons temperature $\beta$ are minimized in both solitary width and amplitude. These influences on the structures of the soliton may be an alternative to the use of higher order perturbation analysis.
收稿日期: 2016-06-16
出版日期: 2016-11-28
:
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)
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2016, Vol. 33 
