Arbitrary Amplitude DIA Nonlinear Wave Structures at \(M=M_{c}\) in an Unmagnetized Five Components Plasma

Abstract

In this problem, we have investigated the arbitrary amplitude dust-ion acoustic (DIA) nonlinear wave structures at the acoustic (sonic) speed \(M=M_{c}\) in a collisionless unmagnetized five components electron-positron-ion-dusty (e-p-i-d) plasma system of Halder et al. (Plasma Phys. Rep. 49, 467–483, 2023). The present plasma system confirms the existence of negative potential solitary waves (NPSWs), positive potential solitary waves (PPSWs), and negative potential double layers (NPDLs) at the acoustic speed \(M=M_{c}\). We have studied the effect of different parameters of the system on the amplitude of PPSWs, NPSWs, and NPDLs at \(M=M_{c}\). We have also analyzed the difference between various DIA nonlinear wave structures at supersonic speed, subsonic speed, and sonic speed through phase portraits of the dynamical system corresponding to nonlinear DIA wave structures.