Propagation of dust acoustic shocks and oscillatory waves in a coupled complex plasma described by nonlinear evolution equations

Abstract

The Burgers equations involving quadratic, cubic, and both quadratic and cubic nonlinearity are derived by assuming the appropriate stretching to describe the propagation of electrostatic shock and oscillatory waves in a coupled complex plasma having Boltzmann-distributed electrons, hybrid Tsallis-nonthermal velocity distributed ions and negatively charged dust grains. In the long-wave approximation, the dynamics of shock wave excitations are governed by these equations with the presence of viscosity coefficient. The generalized Riccati equation mapping method is implemented to determine not only the shocks but also oscillatory waves of these obtained equations. The parametric effect on characteristic of shock waves and oscillatory waves (amplitude, thickness, polarity, etc.) is described. It is found that the plasma environment is supported both of shock and oscillatory waves with positive and negative polarity, and double layer based on some specific conditions.

Keywords

• Nonlinear evolution equations
• The generalized Riccati equation mapping method
• Coupled complex plasma
• Shock waves
• Oscillatory waves