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Effects of two-temperature electrons, external oblique magnetic field, concentration of charged dust grains and higher-order nonlinearity on dust ion-acoustic solitary waves in Saturn's E-ring
Authors:SK El-Labany  LS El-Sherif
Institution:a Department of physics, faculty of science, Mansoura University, Damietta El-Gedida 34517, Egypt
b Department of physics, faculty of science, Ain shams University, Cairo, Egypt
Abstract:The purpose of the present work is to investigate some nonlinear properties of the dust ion-acoustic (DIA) solitary waves in a four-component hot-magnetized dusty plasma consisting of charged dust grains, positively charged ions and two-temperature isothermal electrons. Applying a reductive perturbation theory, a nonlinear Korteweg-de Vries (KdV) equation for the first-order perturbed potential and a linear inhomogeneous KdV-type equation for the second-order perturbed potentials are derived. Stationary solutions of these coupled equations are obtained using a renormalization method. A method based on energy consideration is used to obtain a condition for stable solitons. The effects of two different types of isothermal electrons, external oblique magnetic field, concentration of negatively (positively) charged dust grains and higher-order nonlinearity on the nature of the DIA solitary waves are discussed. The numerical results are applied to Saturn's E-ring.
Keywords:Two-temperature electrons  External oblique magnetic field  Higher-order nonlinearity  Dust ion-acoustic solitary waves  Dusty plasmas  Saturn's E-ring
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