Collisions of solitary pulses in a four species quantum semiconductor plasma consisting of degenerate electrons, degenerate holes, and non-degenerate ions are investigated. The electron and hole exchange-correlation forces between the identical particles when their wave functions overlap due to the high number densities are considered. Using the extended Poincarê–Lighthill-Kue method in opposite directions, two Korteweg-de Vries equations are derived. Hirota's method is used to derive the analytical phase shifts after the collision of one soliton and two soliton. Typical values for GaAs, GaSb, GaN, and InP semiconductors are considered to analyze the effects after collisions.
The shock structures in spin-1/2 quantum plasma, in the presence of magnetic diffusivity, are studied in the framework of the quantum magnetohydrodynamic model. Linear dispersion relation for the system is carried out analytically, and the results are plotted numerically for several values of the plasma parameters. Numerical analysis for arbitrary amplitude waves is carried out, whereas for waves of small amplitude, the reductive perturbation technique is applied to obtain the Korteweg-de Vries-Burgers equation. Both the analyses are observed to give the same qualitative picture. Most importantly, the different plasma parameters are found to play significant roles in determining the nature of the shock waves. The parametric ranges for which monotonic shock and oscillatory shock solutions are observed, are found analytically.
The influence of exchange-correlation potential, quantum Bohm term, and degenerate pressure on the nature of solitary waves in a quantum semiconductor plasma is investigated. It is found that an amplitude and a width of the solitary waves change with variation of different parameters for different semiconductors. A deformed Korteweg-de Vries equation is obtained for propagation of nonlinear waves in a quantum semiconductor plasma, and the effects of different plasma parameters on the solution of the equation are also presented.
Global vortex solutions in a rotating pure electron plasma column are derived within the framework of a dissipationless, cold fluid model. These solutions represent nonlinear steady state diocotron modes and may be of relevance to recent computer simulations on crossed-field electron flow and laboratory experiments on pure electron plasma columns.
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