Astronomy and Astrophysics – Astrophysics
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.333..247p&link_type=abstract
Astrophysics and Space Science, Volume 333, Issue 1, pp.247-255
Astronomy and Astrophysics
Astrophysics
4
Scientific paper
The propagation of nonlinear waves in plasmas consisting of a cold electron fluid and nonextensive hot electrons and stationary ions is studied. By using the reductive perturbation theory, the Korteweg-de Vries (KdV) equation is derived. It is shown that the amplitude of solitary waves of the KdV equation diverges at the critical values of plasma parameters. We derive solitons of a modified Korteweg-de Vries (mKdV) equation with finite amplitude in this situation. It is found that both compressive and rarefractive solitons as well as double layers exist depending on the q-nonextensive parameter. The q-parameter also affects the double layers. Our investigation is of wide relevance to astronomers and space scientists working on interstellar space plasmas.
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