Dust Ion Acoustic Solitary Waves In A Relativistic Ion Plasma With Kappa Described Electrons And Positrons

Abstract

Propagation features of ion acoustic solitary waves in a dusty plasma which contain relativistic ions with kappa described electron and positron are studied. The negative dust is defined by q-nonextensive distribution. The Korteweg-de Vries (KdV) equation is formulated using reductive perturbation technique to study evolution of dust ion acoustic solitary waves (DIASW).  The variations in amplitude, width and phase velocity of solitary waves along with spectral index , non-extensive parameter q and relativistic factors are studied. We observed that persistence of dust particles enhances strength of solitary structures formed in the relativistic plasma. The relativistic factors and the spectral indices of electrons and positrons have an enhancing impact on the amplitude of solitary structures. Our results could be useful for studying dynamics of solitary structures existing in any astrophysical dusty plasma composed of relativistic streaming ions such as interplanetary space and relativistic wind of pulsar.