- Dust acoustic shock waves in two temperatures charged dusty grains
Physics Of Plasmas, Nov. 2011
E. K. El-Shewy
Hisham Abdel Wahed Mohamed Gomaa
M. A. Elmessary
- Solitary solution and energy for the Kadomstev- Petviashvili equation in two temperatures charged dusty grains
Astrophysics and Space Science, Pages 179–186, مايو 2011
E. K. El-Shewy
Moheb Ebrahim Abou El Maaty El Azab
Hisham Abdel Wahed Mohamed Gomaa
M. A. Elmessary
- Dust Acoustic Solitary Waves in Saturn F-ring’s Region
Communications in Theoritical Physics Vol. 55, No. 1, Pages 143 - 150, يناير 2011
E. K. El-Shewy
Moheb Ebrahim Abou El Maaty El Azab
Hisham Abdel Wahed Mohamed Gomaa
M. A. Elmessary
Abstract Abstract Dust Acoustic Solitary Waves in Saturn F-ring’s Region
Effect of hot and cold dust charge on the propagation of dust-acoustic waves (DAWs) in unmagnetized plasma having electrons, singly charged ions, hot and cold dust grains has been investigated. The reductive perturbation method is employed to reduce the basic set of fluid equations to the Kortewege-de Vries (KdV) equation. At the critical hot dusty plasma density Nh0, the KdV equation is not appropriate for describing the system. Hence, a set of stretched coordinates is considered to derive the modified KdV equation. It is found that the presence of hot and cold dust charge grains not only significantly modifies the basic properties of solitary structure, but also changes the polarity of the solitary profiles. In the vicinity of the critical hot dusty plasma density Nh0, neither KdV nor mKdV equation is appropriate for describing the DAWs. Therefore, a further modified KdV (fmKdV) equation is derived, which admits both soliton and double layer solutions.
- Solitary solution and energy for the Kadomstev–Petviashvili
equation in two temperatures charged dusty grains
Astrophysics and Space Science - Springer, Pages 179-186, يناير 2011
E. K. El-Shewy
Moheb Ebrahim Abou El Maaty El Azab
Hisham Abdel Wahed Mohamed Gomaa
M. A. Elmessary
Abstract Abstract Solitary solution and energy for the Kadomstev–Petviashvili
equation in two temperatures charged dusty grains The nonlinear properties of small amplitude dustacoustic
solitary waves (DAWs) in a homogeneous unmagnetized
plasma having electrons, singly charged ions, hot
and cold dust species with Boltzmann distributions for electrons
and ions have been investigated. A reductive perturbation
method was employed to obtain the Kadomstev-
Petviashvili (KP) equation. The effects of the presence of
charged hot and cold dust grains on the nature of DAWs
were discussed. Moreover, the energy of two temperatures
charged dusty grains were computed. The present investigation
can be of relevance to the electrostatic solitary structures
observed in various space plasma environments.
- Improved dust acoustic solitary waves in two temperature dust fluids
Applications and Applied Mathematics, Pages Vol. 5, No. 1, 26 - 41, يونيو 2010
E. K. El-Shewy
Moheb Ebrahim Abou El Maaty El Azab
Hisham Abdel Wahed Mohamed Gomaa
M. A. Elmessary
Abstract Abstract Improved dust acoustic solitary waves in two temperature dust fluids A theoretical investigation is carried out for contribution of the higher-order nonlinearity to nonlinear dust-acoustic solitary waves (DASWs) in an unmagnetized two types of dust fluids (one cold and the other is hot) in the presence of Bolltzmannian ions and electrons. A KdV equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation and a linear inhomogeneous (KdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution for equations resulting from higher-order perturbation theory has been found using the renormalization method. The effects of hot and cold dust charge grains are found to significantly change the higher-order properties (viz. the amplitude and width) of the DASWs.
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