Nonlinear oscillations in a magnetized dusty plasma with two-temperature trapped ions

Abstract

The nonlinear properties of dust-acoustic waves (DAWs) propagating obliquely to an external magnetic field in a dusty plasma comprised of Boltzmannian electrons, two-temperature trapped ions and charged dust grains are investigated. The typical integral form of the Sagdeev potential is examined numerically and is expanded up to the fourth order of the electrostatic potential ϕ to study analytically the nature of the solitary waves whose amplitude tends to zero as the Mach number M approaches its critical value M c. The critical Mach number typically depends on the dust fluid temperature, density and the obliqueness of the wave vector. Only the rarefactive soliton solution as well as the profiles of spiky solitary waves are shown to coexist by the effects of dust temperature, two-temperature trapped ions, obliqueness and the external magnetic field.