Kadomtsev-Petviashvili (KP) Burgers equation in dusty negative ion plasmas: Evolution of dust-ion acoustic shocks

TL;DR

This paper derives and analyzes the Kadomtsev-Petviashvili Burgers (KPB) equation for dust-ion acoustic shocks in dusty negative ion plasmas, revealing how plasma parameters influence shock polarity and properties.

Contribution

It introduces a derivation of the KPB equation for DIA shocks in dusty negative ion plasmas, including effects of ion pressures and viscosities, and analyzes shock polarity transitions.

Findings

Shock polarity depends on negative ion concentration.

Transition from negative to positive potential shocks occurs with parameter changes.

Properties of DIA shocks vary with plasma densities, temperatures, and masses.

Abstract

We study the nonlinear propagation of dust-ion acoustic (DIA) solitary waves in an unmagnetized dusty plasma which consists of electrons, both positive and negative ions and negatively charged immobile dust grains. Starting from a set of hydrodynamic equations with the ion thermal pressures and ion kinematic viscosities included, and using a standard reductive perturbation method, the Kadomtsev-Petviashivili Burgers (KPB) equation is derived, which governs the evolution of DIA shocks. A stationary solution of the KPB equation is obtained and its properties are analysed with different plasma number densities, ion temperatures and masses. It is shown that a transition from shocks with negative potential to positive one occurs depending on the negative ion concentration in the plasma and the obliqueness of propagation of DIA waves.