Time-fractional KdV equation for plasma of two different temperature electrons and stationary ion

El-Wakil, S. A.; Abulwafa, Essam M.; El-Shewy, E. K.; Mahmoud, Abeer A.
September 2011
Physics of Plasmas;Sep2011, Vol. 18 Issue 9, p092116
Academic Journal
Using the time-fractional KdV equation, the nonlinear properties of small but finite amplitude electron-acoustic solitary waves are studied in a homogeneous system of unmagnetized collisionless plasma. This plasma consists of cold electrons fluid, non-thermal hot electrons, and stationary ions. Employing the reductive perturbation technique and the Euler-Lagrange equation, the time-fractional KdV equation is derived and it is solved using variational method. It is found that the time-fractional parameter significantly changes the soliton amplitude of the electron-acoustic solitary waves. The results are compared with the structures of the broadband electrostatic noise observed in the dayside auroral zone.


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