Nonplanar Ion Acoustic Waves in Electron-Ion Plasma with Generalized (r,q) Distributed Electrons

Abstract

Standard reductive perturbation theory is used to analyze the motion of nonplanar ion acoustic waves in a plasma composed of cold ions and nonthermally distributed electrons. The nonplanar Korteweg de-Vries (KdV) equation is derived to describe the evolution of nonlinear nonplanar ion acoustic waves. It is discovered that the nonthermal electron parameters (  and ) and the geometry factor ( ) have a considerable influence on the compressive and rarefactive ion-acoustic solitary wave characteristics. Because the wave profiles modify with , the waves cannot be considered solitons. It is also discovered that the amplitudes of spherical ion acoustic waves are greater than those of cylindrical ion acoustic waves. The findings of this investigation contribute to our basic knowledge of the electron distribution function's full structure, including its high and low energy populations, as well as how nonplanar compressive and rarefactive ion acoustic waves develop in astrophysical and space plasmas.