Nonlinear electrostatic waves in a magnetized dusty plasma with two-temperature ions

Abstract

Nonlinear low frequency electrostatic waves which arise from the coupling between two linear modes, viz., the dust-acoustic and dust-cyclotron waves, are studied in a magnetized dusty plasma comprising Boltzmann electrons, a negatively charged warm dust fluid, and two ion species of different temperatures with both species having isothermal Boltzmann distributions. The fluid equations for the dust are combined with the quasineutrality condition to obtain a single equation which governs the nonlinear evolution of the electric field for wave propagation oblique to an external magnetic field. The numerically obtained solutions for the electric field are found to have sinusoidal waveforms for small values of the initial driver electric field amplitudes and Mach numbers, whereas, spiky structures are found to be supported for larger values. Furthermore, the periods of the waveforms are found to depend on various plasma parameters such as hot and cool ion number densities and temperatures, dust drift speed and dust temperature.