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Effect of higher-order nonlinearity to nonlinear electron-acoustic solitary waves in an unmagnetized collisionless plasma

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  • El-Shewy, E.K.

Abstract

The contribution of the higher-order nonlinearity to nonlinear electron acoustic waves in an unmagnetized collisionless plasma consisting of a cold electron fluid and hot electrons obeying a trapped vortex-like distribution, and stationary ions is studied by use of the reductive perturbation method. A modified Korteweg-de Vries (mKdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation and a linear inhomogeneous (mKdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution for equations resulting from higher-order perturbation theory has been found using the renormalization method. The effect of higher-order nonlinearity on the amplitude of the soliton are also discussed.

Suggested Citation

  • El-Shewy, E.K., 2005. "Effect of higher-order nonlinearity to nonlinear electron-acoustic solitary waves in an unmagnetized collisionless plasma," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1073-1079.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:4:p:1073-1079
    DOI: 10.1016/j.chaos.2005.01.060
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