artykuł
2010.06.29
eng
2009.10.05
El-Shewy E.K.
application/pdf
ion-acoustic waves, reductive perturbation, symbolic computations, explosive solutions
2010.05.06
Abdelwahed H.G., Abd-El-Hamid
Poznań
OWN
The reductive perturbation method has been employed to derive the Korteweg–deVries (KdV) equation for small but finite amplitude electrostatic ion-acoustic waves. An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the KdV equation. Numerical studies have been made using plasma parameters to reveal different solutions, i.e. bell-shaped solitary pulses, rational pulses and solutions with singularity at a finite points called “blowup” solutions in addition to the propagation of explosive pulses. The result of the present investigation may be applicable to some plasma environments, such as ionosphere.
2010.05.02