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1 2010

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Computational Solutions for the Korteweg–deVries Equation in Warm Plasma

El-Shewy E. K., Abdelwahed H. G., Abd-El-Hamid H. M.

Computational Methods in Science and Technology

2010

Vol. 16, No. 1

13-18

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.