Collisional phase shifts between two colliding solitary waves in a three-dimensional magnetized dusty plasma

Abstract

Interaction of dust acoustic solitary waves in two different directions in a three-dimensional dusty plasma is investigated. The phase shifts after collision of two solitary waves with arbitrary angle in a three-dimensional magnetized dusty plasma are studied. By using the extended Poincaré–Lighthill–Kuo perturbation method, two Korteweg–de Vries equations for nonlinear waves in both ξ and η directions are obtained. The effects of the collision angle θ, the ratio of dust temperature to ion temperature σ, the ratio of ion temperature to electron temperature β, the ratio of effective temperature to ion temperature s, and the ratio of the number densities of both ion and electron to the density of dust particles μ and ν on the phase shifts are discussed.