(2+1)-dimensional modulated nonlinear ion-acoustic soliton packets in magnetized electronegative plasma

Abstract

The dynamics of propagation of (2+1)-dimensional ion-acoustic wave (IAW) packets in magnetized electronegative plasma made of negative ions with electrons, both in Boltzmann distribution and cold mobile positive ions is studied. For this purpose, the standard reductive perturbation method is used to derive the (2+1)-dimensional nonlinear Schrödinger (NLS) equation, which governs the modulation of positive IAW packets. The coefficients of the obtained NLS equation do not only depend on the system parameters specially the electronegative parameters such as the negative ion concentration ratio and the electron-to-negative ion temperature ratio (α and σn, respectively), but also on the magnetic field (ωp). The modulational instability is studied to analyze the areas of the emergence of waves. In order to describe the main characteristics of IAWs, the variational method is performed involving trial function solution of NLS equation and the exact (input profile) and numerical (output profile) solutions are also discussed.