Kadomtsev-Petviashvili solitons propagation in a plasma system with superthermal and weakly relativistic effects

Abstract

Two dimensional (2D) solitons are studied in a plasma system comprising of relativistically streaming ions, kappa distributed electrons, and positrons. Kadomtsev-Petviashvili (KP) equation is derived through the reductive perturbation technique. Analytical solution of the KP equation has been studied numerically and graphically. It is noticed that kappa parameters of electrons and positrons as well as the ions relativistic streaming factor have an emphatic influence on the structural as well as propagation characteristics of two dimensional solitons in the considered plasma system. Our results may be helpful in the understanding of soliton propagation in astrophysical and laboratory plasmas, specifically the interaction of pulsar relativistic wind with supernova ejecta and the transfer of energy to plasma by intense electric field of laser beams producing highly energetic superthermal and relativistic particles [L. Arons, Astrophys. Space Sci.

Solitons in ${ \mathcal P }{ \mathcal T }$-symmetric optical Mathieu lattices

“…Solitons are ubiquitous in nature, and they have been studied in hydrodynamics [35], plasma physics [12] and Bose-Einstein condensates [30,37] among several other fields. Particularly in optics, spatial solitons are manifested by the conservation of the width and amplitude of the beam while propagating through the nonlinear media, avoiding diffraction in the media by self-focusing and self-trapping effects [7,29].…”

Propagation of Electron Acoustic Soliton, Periodic and Shock Waves in Dissipative Plasma with a q -Nonextensive Electron Velocity Distribution

“…Saha et al [21] derived the KP equation for ion waves in a magnetized dusty plasma with a nonthermal electron distribution. Rehman et al [22] studied the two-dimensional solitons in a superdense quantum dusty plasma. El-Shewy et al [23] have studied the dusty grains energy for the KP equation.…”