Stability of the Dust-Acoustic Solitons in the Thomas-Fermi Dense Magnetoplasma

Abstract

AbstractAn investigation is presented theoretically for the multi- dimensional instability of dust-acoustic solitary waves in the dense Thomas-Fermi magnetoplasma. The plasma system contains classical negatively charged dust grains with degenerate electrons and ions particles. Based on the reductive perturbation approach, the Zakharov-Kuznetsov (ZK) equation has been formulated. This nonlinear ZK equation is analyzed for its solitary wave solutions. Only rarefactive solitary waves are obtained, those are influenced by the parameters such as the dust temperature and number density, the electrons, and ions Fermi temperatures, and densities. The waves growth rate of the is computed. The previous parameters’ effects on the instability are also discussed. The present results are beneficial in understanding the propagation and the instability of nonlinear aspects in dense plasma systems like white dwarfs and high-intensity laser-solid matter interaction experiments where the Thomas-Fermi dense magnetoplasma state may occur.KeywordsQuantum semiconductor plasmaDegenerate holesPlasma wavesExchange-correlation forcesZakharov-Kuznetsov equationBright solitonDark soliton