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العنوان
On the solutions of nonlinear equations in two types dusty plasma /
المؤلف
El Attafi, Mohamed Awad Youssef.
هيئة الاعداد
باحث / محمد عوض يوسف العطافى
مشرف / السيد عبدالعاطى الوكيل
مشرف / أحمد محمد الجرايحى
مشرف / عبير عوض محمود حسن
الموضوع
Differential equations, Nonlinear. Mathematical Physics.
تاريخ النشر
2013.
عدد الصفحات
86 p. ;
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الفيزياء الإحصائية وغير الخطية
تاريخ الإجازة
1/1/2013
مكان الإجازة
جامعة المنصورة - كلية العلوم - Department Of Physics
الفهرس
Only 14 pages are availabe for public view

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Abstract

Effect of nonthermality of ions on the propagation of dust-acoustic
waves (DAWs) in unmagnetized plasma having electrons, singly charged
ions, hot and cold dust grains have 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, 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 nonthermality of ions does not only significantly modify 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, 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. A
theoretical investigation for the energy of two temperatures charged
dusty grains were computed. It is found that, the grains energy are very
sensitive to the plasma parameters. In the presence of kinematic
viscosity, The KdV-Burgers equation is derived. It is found that solitary
and shock (oscillatory and monotonic) waves can be produced in this
medium. The effects of important parameters such as hot and cold dust
charge and density parameters on the properties of shock waves are
discussed. The present investigation can be of relevance to the
electrostatic solitary structures observed in various space plasma
environments such as Saturn F-ring’s.