Higher order contributions to electron-acoustic solitary waves featuring cairns-tsallis distribution of electrons

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Date
2019
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Punjab Agricultural University, Ludhiana
Abstract
In this thesis, a homogeneous system of unmagnetized and collisionless plasma constituting of cold electron fluid, immobile ions and hot electrons has been studied. The hot electrons are assumed to obey hybrid Cairns-Tsallis distribution. This distribution is applicable within the range and .Using standard Reductive Perturbation Method (RPM), dispersion relation and Korteweg de-Vries (KdV) equation has been derived. Reductive preturbation method is further extended to include the contribution of higher order terms. Renormalization method is employed in studying the propagation of electron acoustic solitary waves as well as higher order solitary waves. Our present investigation focuses on revealing the dependency of the behavior of these waves on nonthermal parameter( ), hot-to-cold electron density ratio( ), hot-to-cold electron temperature ratio( ), Mach number( ) and nonextensive parameter( ). Only negative potential structures are reported in our plasma model. The numerical results reflects that on taking the higher order correction terms into account, the amplitude of the dressed soliton solution increases however its width narrows. The present plasma model may be helpful in simulating the electron acoustic solitary behavior in the auroral regions and magnetospheric plasmas of earth.
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