Modeling and simulation of large-amplitude ion-acoustic shocklets in degenerate quantized plasmas

Nonlinear propagation and formation of the large-amplitude ion-acoustic (IA) shocklets are studied in a magnetized dense plasma by taking into account the degenerate quantized electrons and classical ions. The ion-fluid equations are nonlinearly coupled and solved together along with a charge-neurality condition to account for the Landau quantization, normalized electron temperature and ion-thermal corrections. Relying on the diagonalization matrix technique, a set of modified characteristic wave equations is derived to support the IA waves both analytically and numerically in a dense quantized plasma. The solitary pulses are found as localized and symmetric at time t=0. However, non-stationary solutions introduce bipolar (asymmetrical) structures in the form of shocklets, that are characterized by the self-steepening and wave breaking effects as long as the time progresses. The excitations of these solitary waves and shocklets become significantly modified in the presence of quantizing magnetic fields, trapped/untrapped electrons and ion-thermal corrections. The present findings are helpful to understand the large-amplitude shock excitations in degenerate dense plasmas, where strong magnetic fields quantize the motion of inertialess electrons.