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High-density low-temperature plasmas with degenerate species are consideredin the limit of high Fermi velocities close to the speed of light. The smallamplitude ion-acoustic solitons are studied in this regime. Presented analysisis based on the relativistic hydrodynamic model with the average reverse gammafactor evolution consists of the equations for evolution of the followingfunctions the concentration, the velocity field, the average reverserelativistic gamma factor, and the flux of the reverse relativistic gammafactor, which are considered as main hydrodynamic variables. Justification ofthe suggested model via comparison of the hydrodynamic results with the resultof application of the relativistic Vlasov kinetic equation is made in thelinear approximation.

Relativistic hydrodynamic model with the average reverse gamma factor evolution for the degenerate plasmas: high-density ion-acoustic solitons