Effects of Two-Temperature Ions and External Magnetic Field on Dust-Acoustic Solitary Waves in a Dusty Plasma

In this paper, a reductive perturbation theory is used to derive a Korteweg-de Vries equation for a magnetized dusty plasma consisting of cold dust grains, Boltzmann distributed electrons, and Boltzmann distributed ions at two different temperatures. The renormalization method is used to obtain stationary solutions of these coupled equations. The effects of two-temperature ions and external magnetic field on the properties of solitary waves are studied. Such a study showed that the presence of the hot and cold ions modifies the nature of dust-acoustic solitary structures and admits mainly solitary waves with negative potential. However, for a small amount of electron density, the plasma may allow rarefactive dust-acoustic solitary waves to exist in such a dusty plasma system.