Ion acoustic solitons of KdV and modified KdV equations in weakly relativistic plasma containing nonthermal electron, positron and warm ion. (English) Zbl 1237.85026
Summary: 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.
MSC:
85A25 | Radiative transfer in astronomy and astrophysics |
35Q51 | Soliton equations |
76W05 | Magnetohydrodynamics and electrohydrodynamics |
83C10 | Equations of motion in general relativity and gravitational theory |
35Q53 | KdV equations (Korteweg-de Vries equations) |
76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |
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