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- Title
Dark solitons for the (2+1)-dimensional Davey-Stewartson-like equations in the electrostatic wave packets.
- Authors
Xie, Xi-Yang; Meng, Gao-Qing
- Abstract
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 χ1<inline-graphic></inline-graphic> and χ5<inline-graphic></inline-graphic> on the dark solitons are illustrated in detail, where χ1<inline-graphic></inline-graphic> arises because of the evolution of the electrostatic wave packets and wave group dispersion, and χ5<inline-graphic></inline-graphic> rests with the zeroth harmonic static field of the plasmas: Widths of the solitons become narrower with the value of χ1<inline-graphic></inline-graphic> increasing; meanwhile, amplitudes of the one solitons become lower and velocities of the two solitons alter. With the decrease of χ5<inline-graphic></inline-graphic>, amplitudes become lower for the one solitons but higher for the two solitons.
- Subjects
SOLITONS; DAVEY-Stewartson systems; PLASMA electrostatic waves; WAVE packets; HARMONIC functions
- Publication
Nonlinear Dynamics, 2018, Vol 93, Issue 2, p779
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-018-4226-x