Creator:

El-Shewy E.K.

Contributor:

Abdelwahed H.G., Abd-El-Hamid

Tags:

ion-acoustic waves, reductive perturbation, symbolic computations, explosive solutions

Abstract:

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.

Place of publishing:

Poznań

Publisher:

OWN

Date accepted:

2010.05.06

Date submitted:

2009.10.05

Date issued:

2010.06.29

Date modified:

2010.05.02

Resource Type:

artykuł

Format:

application/pdf

Language:

eng