Inertial Alfven Solitons In Quantum Plasma With Correction Of Temperature Degeneracy

Inertial Alfven solitary waves are investigated in an intermediate boa beta(alpha equivalent to (beta/2)/Q < 1) quantum plasma, taking into account electron temperature degeneracy correction. We discuss the general coupling parameter K to find out the validity of the proposed model in nearly non-degenerate xi(= upsilon/e(kBTe) << 1 and nearly degenerate delta(= T-e/T-F) << 1 limiting cases. Employing the reductive perturbation technique, a Korteweg-de Vries (KdV) equation is derived for weakly nonlinear inertial Alfven 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 Alfven solitary waves are accompanied by both hump and dip solitons. Moreover, the effects of the degeneracy parameter G(= Li-3/2(-xi)/Li-1/2(-xi) are reflected in the graphical analysis for both limiting cases. The significance of work to astrophysical plasmas is highlighted. Published by AIP Publishing.