An unmagnetized strongly coupled plasma: heavy ion acoustic shock wave excitations

Abstract

The propagation of heavy ion-acoustic shock waves (HIASWs) are studied in an unmagnetized strongly coupled plasma having inertial positively charged heavy ions (HIs) fluid and inertia-less (α, q)-distributed electrons and Maxwellian light ions (MLIs). To examine such phenomena, the Burgers equation (BE), modified Burgers equation (mBE), and mixed mBE (mmBE) are derived without considering the stretching of viscosity coefficient of HIs via the reductive perturbation technique (RPT). In addition, the appropriate stationary shock wave solutions of the nonlinear equations, particularly, mBE and mmBE is formulated for the first time. With the changes of plasma parameters, the basic features of HIASWs are examined in both of strongly coupled regime (SCR) and weakly coupled regime (WCR). It is described that the basic features (viz., polarity, amplitude, width, etc.) of the HIASWs are remarkably modified, and for that the adiabatic HIs, (α, q)-distributed electrons, MLIs and viscosity coefficient of HIs played an important role. The presented investigation might be beneficial to comprehend and predict the behavior of HIASWs structures in space and astrophysical environments (SAEs) and the future experimental studies in plasma laboratory (PL).

Constructing and Predicting Solutions for Different Families of Partial Differential Equations: A Reliable Algorithm

“…For more accurate analysis and predictions, it is recommended to use partial diferential equations instead of ordinary diferential equations for modeling various physical phenomena. Tese equations are widely used for describing diferent complex situations, such as fuid fow [3,4], signal processing, control and information theory [5,6], entropy generations [7], and waves on shallow water surfaces [8][9][10]. Examples include radioactive decay, spring-mass systems, population growth, and predator-prey models.…”