Abstract
The effect of the structure parameter on the compressibility of dust grains and soliton behavior in a dusty plasma system consisting of Maxwellian electrons, ions, and dust grains charged with a negative charge has been studied. In the theoretical study, a reductive perturbation technique was used to derive the Korteweg-de Vries (KdV) equation and employ the Hirota bilinear method to obtain multisoliton solution. It is found that coupling and structure parameters have a clear effect on the compressibility. These changes in the compressibility affected the amplitude and width of interactive solitons, in addition to the phase shifts resulting from the interaction. These results can be used to understand the behavior of solitary waves that occur in various natural and laboratory plasma environments with dust impurity situations.
Highlights
Study of nonlinear phenomena in dusty plasma had a great deal of interest because of the presence of dust in various space and astrophysical environments, for example, planetary rings, comets, the Earth’s ionosphere, and interstellar molecular clouds [1, 2]
The Coulomb coupling parameter is one of the basic properties of the dusty plasma system, which determines the phase state of the system and is a dimensionless parameter which represents the ratio between the electrostatic interaction energy and the thermal energy of the grains, and the first investigations showed that the Coulomb coupling parameter is given as follows [5]: Γc ðeZ d Þ2 4πε0 aT d where a = ð3/4πndÞ1/3 interparticle distance, Td is the temperature of dust grains, nd is the grain number density, and Zdis the charge number of grains
We investigated the propagation and interaction of dust-acoustic waves (DA) multisolitons in strongly coupled dusty plasma consisting of Maxwellian electrons, ions, and inertial negative dust grains
Summary
Study of nonlinear phenomena in dusty plasma had a great deal of interest because of the presence of dust in various space and astrophysical environments, for example, planetary rings, comets, the Earth’s ionosphere, and interstellar molecular clouds [1, 2]. Seadawy [20] applied the reductive perturbation procedure method on the fluid system governing plasma, and he got the nonlinear three-dimensional modified Zakharov–Kuznetsov (mZK) equation governing the propagation of ion dynamics of nonlinear ion-acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. He found that the electrostatic field potential and electric field form traveling wave solutions for the three-dimensional mZK equation. Computer modeling used the Maple program to show the time development of the propagation and interaction of solitons
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