Alfven solitary waves in nonrelativistic, relativistic, and ultra-relativistic degenerate quantum plasma

Abstract

Nonlinear circularly polarized Alfv en waves are studied in magnetized nonrelativistic, relativistic, and ultrarelativistic degenerate Fermi plasmas. Using the quantum hydrodynamic model, Zakharov equations are derived and the Sagdeev potential approach is used to investigate the properties of the electromagnetic solitary structures. It is seen that the amplitude increases with the increase of electron density in the relativistic and ultrarelativistic cases but decreases in the nonrelativistic case. Both right and left handed waves are considered, and it is seen that supersonic, subsonic, and super- and sub-Alfv enic solitary structures are obtained for different polarizations and under different relativistic regimes