Obliquely propagating dust-acoustic solitary waves in a magnetized dusty plasma

Abstract

A theoretical investigation has been made of obliquely propagating dustacoustic solitary waves in a magnetized dusty plasma which consists of a negatively charged cold dust fluid, Boltzmann-distributed electrons, and nonthermally distributed ions. The reductive perturbation method has been employed to derive the Kortewegde Vries (K-dV) equation which admits a solitary wave solution for small but finite amplitude limit. The solitary wave may change from compressive to rarefactive depending on the value of α (a parameter determining the number of nonthermal ions present in this plasma model). It is seen that for no background free electron there exist compressive (rarefactive) solitary waves when α ≤ (>)0.155 and that, as the number of the background free electrons increases, we need a higher value of α in order for rarefactve solitary waves to exist. The effects of obliqueness and external magnetic field on the nature of these compressive and rarefactive solitary waves are also discussed.