Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.335..389e&link_type=abstract
Astrophysics and Space Science, Volume 335, Issue 2, pp.389-397
Astronomy and Astrophysics
Astrophysics
4
Excess Superthermal Hot Electrons, Electron Acoustic Waves, Kdv Equation, Kdv Type Equation, Renormalization Method, Higher-Order Nonlinearity, Solitary Solution
Scientific paper
A theoretical investigation is carried out for the nonlinear properties of small amplitude electron acoustic solitary waves (EAWs) in an unmagnetized collisionless plasma consisting of a cold electron fluid and hot electrons obeying κ velocity distribution, and stationary ions. The Korteweg de Vries (KdV) equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation and a linear inhomogeneous (KdV-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 effects of the spectral index κ and the higher-order corrections are found to significantly change the properties (viz. the amplitude, width, electric field ) of the EASWs. A comparison with the Viking Satellite observations in the dayside auroral zone are also discussed.
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