Investigations of energy and an exchange of energies between electrostatic solitons: higher-order corrections and efficiency improvement of semiconductor plasmas

ABSTRACT

Investigations of the nonlinear excitation and collisions of electrostatic solitons in a dense semiconductor plasma composed of electrons and holes are improved by using the higher-order corrections. Applying the extended Poincaré-Lighthill-Kuo (EPLK) method to obtain the Korteweg–de Vries (KdV) equations, which govern the nonlinear excitation of electrostatic solitons. Furthermore, the phase shift equations due to the collisions between electrostatic solitons are obtained. A theoretical analysis is improved by employing the KdV equations with the effects of the fifth – order dispersion terms. The numerical illustrations demonstrate that the higher-order soliton energy depends significantly on the quantum semiconductor plasma number density. On the other hand, the density of the semiconductor plasma has a weak effect on the lowest-order soliton energy. Therefore, one has to be careful about the choosing semiconductor plasma parameters to avoid any deficiency of the modern semiconductor devices.

Acknowledgments

The authors would like to express their gratitude to the referees for a number of valuable criticisms and comments that have led to improvement of the original manuscript. The authors also thank the editor and his staff for their kind cooperation.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Deanship of Scientific Research at King Khalid University [Grant Number the project under grant number KKU-G.R.P.-398-39H].