Head—on collision of nonlinear dust—acoustic solitary waves in dusty plasmas with dust of opposite polarities

Abstract

The propagation and the head—on collision of nonlinear dust—acoustic solitary waves (DASWs) in dusty plasmas consisting of electrons, ions and negative as well as positive dust particles are investigated. Applying an extended Poincaré-Lighthill-Kuo (PLK) method, Kortwege-de Vries equations and analytical phase shifts after the head-on collision of two DASWs in dusty plasmas are obtained. Analytically and numerically, the relevance of the phase shifts and trajectories to the positive-to-negative dust number density ratio, the ratio of the ion number density to negative dust number density, negative-to-positive dust particle mass ratio, and the ion-to-electron temperature ratio effects is explicitly demonstrated. Moreover, the current findings are applied to different regions of space, viz. cometary tails, mesosphere, Jupiter’s magnetosphere.