الملخص
The intrinsic localization of electrostatic wave energies in quantum semiconductor plasmas can be described by solitary pulses. The propagation and the collision properties of these pulses are investigated. In the present study, the fundamental model includes the quantum term, degenerate pressure of the plasma species, and the electron/hole exchange–correlation effects. In cylindrical geometry, and by applying the reductive perturbation technique, the cylindrical Korteweg–de Vries (cKdV) equation is deduced. In addition, using the extended Poincaré–Lighthill–Kuo (PLK) method, both cKdV equations and the analytical phase shifts after the collision of two soliton rings are derived. Typical values for GaSb and GaN semiconductors are used to estimate the basic features of soliton rings. Numerical calculations reveal that pulses may exist only in dark soliton rings for electron–hole quantum plasmas, and the pulses of GaSb semiconductor carry more energies than the pulses of GaN...
