Solitons in Neutral Fermi Liquid

Author: Grigol Peradze
Co-authors: Nodar Tsintsadze
Keywords: Fermi liquid, KDV
Annotation:

To be based on the new quantum kinetic equation of Fermi particles, which recently was derived by N. L. Tsintsadze and L. N. Tsintsadze [1], a general quantum dispersion equation for almost ideal Fermi gas is derived and studied for some interesting cases. Here we take into consideration only pair interactions between particles and used energy expression derived by V.M. Galitski [2] in the ordinary perturbation theory, which involves only the scattering amplitude. Furthermore, then Korteweg-de Vries (KdV) equation for for such waves is derived and contribution of KdV solitons are discussed. New effect that we have shown is that attraction and repulsion between particles have tendency to change soliton speed and shape: Attraction between particles decreases rarefaction soliton speed and amplitude, repulsion increases soliton speed and amplitude.