Title of article
SOLUTIONS OF VARIABLE COEFFICIENTS CKP EQUATION FOR DUSTY PLASMA SYSTEM WITH 𝐺 / 𝐺 - EXPANSION METHOD
Author/Authors
reyiad, s. damietta university - faculty of science - theoretical research group, physics department, New Damietta City, Egypt , selim, m. m. damietta university - faculty of science - theoretical research group, physics department, New Damietta City, Egypt , el-depsy, a. damietta university - faculty of science - theoretical research group, physics department, new damietta city, egypt , el-labany, s. k. damietta university - faculty of science - theoretical research group, physics department, New Damietta City,, Egypt
Pages
16
From page
1
To page
16
Abstract
By using the reductive perturbation method (RPM), the nonlinear Cylindrical Kadomtsev-Petviashvili (CKP) equation with variable coefficients, for a system of plasma composed of positive and negative dust grains in addition to Maxwellian distributed ions and elections, is derived. With the aid of MATHEMATICA, the 𝐺 / 𝐺 - expansion method is used to analytically solve this CKP equation. New classes of hyperbolic solutions, geometrical solutions, and rational solutions are obtained. The behavior of some of these solutions is graphically presented. At certain conditions, one of the hyperbolic type solutions degenerates into solitary wave solution and the effects of physical parameters on this solitary wave solution are examined. The present study could be helpful to understand the excitation of nonlinear dust-acoustic waves in astrophysical objects such as Saturn rings.
Keywords
Dusty Plasma Waves , Variable Coefficients , Cylindrical Kadomtsev Petviashvili (CKP) Equation , 𝐺 , 𝐺 , Expansion Method , Reductive Perturbation Technique
Journal title
Journal of Nuclear and Radiation Physics
Serial Year
2018
Journal title
Journal of Nuclear and Radiation Physics
Record number
2672707
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