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العنوان
On Soliton Solutions of some Partial Differential Equations Governing Important Physical Models /
المؤلف
Al-Khazrage, Hameed Ibrahim Jasim.
هيئة الاعداد
باحث / حميد ابراهيم جاسم الخزرجي
مشرف / رضا احمد زايط
مشرف / حسن فتحي علام
مشرف / عبدالحفيظ احمد الشخيبي
الموضوع
Differential equations, Partial. Mathematical physics. Differential equations, Nonlinear. Nonlinear theories - Mathematics.
تاريخ النشر
2015.
عدد الصفحات
103 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2015
مكان الإجازة
جامعة المنيا - كلية العلوم - قسم الرياضيات
الفهرس
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Abstract

This thesis concerns with obtaining exact solutions of some important nonlinear partial differential equations (NLPDEs) of physical interest.
In particular those the so-called soliton solutions. Solitons are found in many physical phenomena.
They arise as the solutions of a widespread class of weakly non-linear dispersive PDEs describing physical systems. Among solitons are the travelling wave solutions which are solutions of permanent form moving with a constant velocity. Analytical solutions to NLPDEs play an impo role in nonlinear science, especially in nonlinear physical science since they can provide much physical information and more insight into the physical aspects of the problem and thus lead to further applications. Therefore, numerous NLPDEs were formulated and solved in diverse fields. Particularly, after the advancement in high performance computing, the importance of an intrinsic analysis of nonlinear phenomena has been gradually understood.