Overtaking Collision and Phase Shifts of Dust Acoustic Multi-Solitons in a Four Component Dusty Plasma with Nonthermal Electrons

Abstract

The nonlinear propagation and interaction of dust acoustic multi-solitons in a four component dusty plasma consisting of negatively and positively charged cold dust fluids, non-thermal electrons, and ions were investigated. By employing reductive perturbation technique (RPT), we obtained Korteweged–de Vries (KdV) equation for our system. With the help of Hirota’s bilinear method, we derived two-soliton and three-soliton solutions of the KdV equation. Phase shifts of two solitons and three solitons after collision are discussed. It was observed that the parameters α, β, β1, μe, μi, and σ play a significant role in the formation of two-soliton and three-soliton solutions. The effect of the parameter β1 on the profiles of two soliton and three soliton is shown in detail.

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

“…where For t >> 1, the solution is asymptotically reduced to a superposition of the three single-OIIAS solutions as [26,27,38,48]…”

“…For t > > 1, the solution is asymptotically reduced to a superposition of the three single‐OIIAS solutions as [ 26,27,38,48 ] where are the amplitudes, and Γ 1 = ± (2B 1/3 /k 1 )ln|φ 123 /φ 23 |, Γ 2 = ± (2B 1/3 /k 2 )ln|φ 123 /φ 31 |, and Γ 3 = ± (2B 1/3 /k 3 )ln|φ 123 /φ 12 | are the phase shifts due to the overtaking collisions of three single OIIASs. Obviously, from Equation (40), we are dealing with three single OIIASs, each of them moving in the same direction.…”

“…One is overtaking collision, where the angle between two propagation directions of two solitons, , is 0. [24][25][26][27] Another is the face-to-face collision, where is π. [28][29][30][31][32][33][34] In the present work, we focus on the study of the overtaking collision between the oblique isothermal ion-acoustic solitons (OIIASs) in magnetized ultra-relativistic degenerate dense plasmas using Hirota's bilinear method (HBM).…”

“…Thus, by using HBM, we can analytically obtain the N‐soliton solutions; hence, the phase shifts due to the overtaking phenomenon between the N‐solitons obtained. Mandal et al [ 26 ] studied the overtaking collision and phase shifts of dust acoustic N‐solitons in dusty plasmas. They found that the larger soliton moves faster and approaches the smaller ones, and after the overtaking collision, both resume their original shape and speed.…”

Sheared Flow Driven Drift Instability and Vortices in Dusty Plasmas with Opposite Polarity

“…Very recently, the solitonic, periodic, and quasiperiodic behaviors of dust acoustic and dust ion acoustic waves with Maxwell-distributed and superthermal (q-nonextensive and kappa distributed) electrons and ions were studied using bifurcation theory of planar dynamical systems [27][28][29][30]. The nonlinear propagation and interaction of dust acoustic multi-solitons in a four component dusty plasma comprised of negatively and positively charged cold dust fluids, non-thermal electrons, and ions were recently investigated with effects of overtaking collision and phase shifts of multi-solitons [31].…”