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 solit...

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Bibliographic Details
Published in:	Nonlinear dynamics 2018-07, Vol.93 (2), p.779-783
Main Authors:	Xie, Xi-Yang, Meng, Gao-Qing
Format:	Article
Language:	eng
Subjects:	Amplitudes Automotive Engineering Classical Mechanics Control Dense plasmas Dynamical Systems Elastic scattering Electrostatic waves Engineering Lattice theory Mathematical analysis Mechanical Engineering Original Paper Plasmas Solitary waves Vibration Wave dispersion Wave packets
Online Access:	Get full text
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Summary:	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 χ 1 and χ 5 on the dark solitons are illustrated in detail, where χ 1 arises because of the evolution of the electrostatic wave packets and wave group dispersion, and χ 5 rests with the zeroth harmonic static field of the plasmas: Widths of the solitons become narrower with the value of χ 1 increasing; meanwhile, amplitudes of the one solitons become lower and velocities of the two solitons alter. With the decrease of χ 5 , amplitudes become lower for the one solitons but higher for the two solitons.
ISSN:	0924-090X 1573-269X