Dark solitons for the (2+1)-dimensional Davey-Stewartson-like equations in the electrostatic wave packets

Under investigation in this paper are the (2+1)-dimensional Davey-Stewartson-like equations, which can be used to describe the slow modulation of (2+1)-dimensional electrostatic wave packets in the ultra-relativistic degenerate dense plasmas. With figures plotted, stable propagation of the one solitons and elastic collisions between the two solitons are, respectively, analyzed. Moreover, influences of the parameters and on the dark solitons are illustrated in detail, where arises because of the evolution of the electrostatic wave packets and wave group dispersion, and rests with the zeroth harmonic static field of the plasmas: Widths of the solitons become narrower with the value of increasing; meanwhile, amplitudes of the one solitons become lower and velocities of the two solitons alter. With the decrease of , amplitudes become lower for the one solitons but higher for the two solitons.