Abstract
Inertial Alfvén solitary waves are investigated in an intermediate β(α≡(β2)/Q<1) quantum plasma, taking into account electron temperature degeneracy correction. We discuss the general coupling parameter Λ to find out the validity of the proposed model in nearly non-degenerate ξ(=eυkBTe)≪1 and nearly degenerate δ(=TeTF)≪1 limiting cases. Employing the reductive perturbation technique, a Korteweg–de Vries (KdV) equation is derived for weakly nonlinear inertial Alfvén solitons in the presence of nearly non-degenerate and nearly degenerate pressure corrections. It is found that in the presence of electron inertia and thermal pressure, the inertial Alfvén solitary waves are accompanied by both hump and dip solitons. Moreover, the effects of the degeneracy parameter G (=Li32(−ξ)Li12(−ξ)) are reflected in the graphical analysis for both limiting cases. The significance of work to astrophysical plasmas is highlighted.
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