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Higher-order solution of an electron-acoustic solitary waves with non-thermal electrons

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  • El-Shewy, E.K.

Abstract

Higher-order nonlinearity and dispersion to nonlinear electron acoustic waves are studied using the reductive perturbation method in an unmagnetized collisionless plasma consisting of a cold electron fluid and non-thermal hot electrons and stationary ions. Beside the KdV equation obtained from the lowest order of perturbation, a linear inhomogeneous (KdV-type) equation accounting for the higher-order nonlinearity and dispersion is derived. A stationary solution for equations resulting from higher order perturbation theory has been found using the renormalization method. The effect of higher-order correction and the energetic population parameter δ on the amplitude and width of the soliton are also discussed.

Suggested Citation

  • El-Shewy, E.K., 2007. "Higher-order solution of an electron-acoustic solitary waves with non-thermal electrons," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 628-638.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:628-638
    DOI: 10.1016/j.chaos.2006.03.103
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