Abstract
Ion-acoustic solitary (IAS) waves in electron-positron-ion (e-p-i) plasma have been of interest to many researchers probably due to their relevance in understanding the Universe. However, the study of non-linear ion-acoustic waves in e-p-i plasma with non-thermal electrons has not been adequately studied. A theoretical investigation on non-linear IAS waves in e-p-i plasma comprising of warm inertial adiabatic fluid ions and electrons that are kappa distributed, and Boltzman distributed positron is presented here using the Sagdeev potential technique. It was found that existence domains of finite amplitude IAS waves were confined within the limits of minimum and maximum Mach numbers with varying k values. For lower values of k, the amplitude of the solitary electrostatic potential structures increased as the width decreased, while for high values, the potential amplitude decreased as the width of the solitary structure increased.
Highlights
The electron-positron (e-p) plasmas have frequent occurrence in the Universe [1]
For lower values of κ, the amplitude of the solitary electrostatic potential structures increased as the width decreased, while for high values, the potential amplitude decreased as the width of the solitary structure increased
It can clearly be seen that the existence domains of finite amplitude ion acoustic solitary waves are confined within the limits of Mach number given by Equation
Summary
The electron-positron (e-p) plasmas have frequent occurrence in the Universe [1]. The inclusion of an ion in an e-p forms an e-p-i plasma. Large amplitude ion-acoustic waves in e-p-i plasma were studied by [2], using the Sagdeev potential technique. Their results showed that the larger the relative positron density, the lower the Mach number for a soliton of fixed amplitude to propagate. Later, [3], studied the effect of the ion temperature on large amplitude ion-acoustic waves in e-p-i plasma consisting of Boltzmann distributed positrons. Cairn’s distributed electrons in an e-p-i plasma and [11] applied the distribution on a 4-component complex dusty plasma In both cases, solitons of both polarities were found to exist. This paper is structured with the following sections: A brief introduction, description of the model, discussion of results and we present a conclusion
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