Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.332..269p&link_type=abstract
Astrophysics and Space Science, Volume 332, Issue 2, pp.269-277
Astronomy and Astrophysics
Astrophysics
7
Soliton, Relativistic Ions, Nonthermal
Scientific paper
In this paper, the ion-acoustic solitons in a weakly relativistic electron-positron-ion plasma have been investigated. Relativistic ions, Maxwell-Boltzmann distributed positrons and nonthermal electrons are considered in collisionless warm plasma. Using a reductive perturbation theory, a Korteweg-de Vries (KdV) equation is derived, and the relativistic effect on the solitons is studied. It is found that the amplitude of solitary waves of the KdV equation diverges at the critical values of plasma parameters. Finally, in this situation, the solitons of a modified KdV (mKdV) equation with finite amplitude is derived.
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