Abstract
The basic features of nonlinear ion acoustic (IA) waves are theoretically studied in a superthermal electron–positron–ion (e–p–i) plasma with weakly transverse perturbation. A three-dimensional Kadomtsev–Petviashvili (KP) equation governing evolution of weakly nonlinear IA waves is derived by means of a reductive perturbation method. The energy integral equation is used to study the existence domain of the localized structures. It is found that deviation from thermodynamics equilibrium increases the existence domain of solitary solution and also makes the IA solitary structure more spiky. The ion concentration has an important effect on the existence domain of solitary solution, as for low ion density the primitive domain reduces significantly.
Highlights
Electron–positron–ion (e–p–i) plasma as a particular case of ambiplasma is a quasineutral space plasma containing electrons, positrons, protons, and antiprotons [1]
To complement and give new insights into the previously published work, we propose here to address the propagation properties of weakly nonlinear ion acoustic (IA) solitary waves in a superthermal e–p–i plasma with transverse perturbation
A three-dimensional e–p–i plasmas consisting of superthermal electrons and positrons have been considered to examine the effects of transverse perturbation, electron/ positron superthermality and ion concentration on the existence, formation and profile of IA solitary waves
Summary
Electron–positron–ion (e–p–i) plasma as a particular case of ambiplasma is a quasineutral space plasma containing electrons, positrons, protons, and antiprotons [1]. The stability of electrostatic structures has been investigated in a magnetized e–p–i plasma with nonMaxwellian electrons and positrons [49] They showed that evolution of IA solitary waves in their model was governed by a Zakharov–Kuznetsov type equation. The solitary structures in the present plasma model would be excited with positive amplitude This is a respectable result, because here we have employed the reductive perturbation method, and for this we have to restrict the spectrum indexes jp and je to the region 3 \ jp, je [36]. The IA solitary structure experiences a decrease (increase) in amplitude (width) with a decreasing f, as for low values of f the IA solitary structure may be disappears
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