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العنوان
Analytical methods for some equations in soliton /
المؤلف
Ahmed, Hussien Abd El-Sapoor.
هيئة الاعداد
مشرف / زينهم محمود جمعة كشكة
zenhoum.keshkah@science.sohag.edu.eg
مشرف / محمد خلف الله البرعى
mohamed.elboraay@sci.svu.edu.eg
مشرف / السيد محمود احمد عثمان
elsayed.osman@science.sohag.edu.eg
مشرف / زينهم محمود جمعة كشكة
zenhoum.keshkah@science.sohag.edu.eg
الموضوع
applied mathematics. soliton theory. applied mathematics. soliton theory.
تاريخ النشر
2015.
عدد الصفحات
82 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
3/9/2015
مكان الإجازة
جامعة سوهاج - كلية العلوم - رياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

The main aim of this thesis is to obtain new exact soliton, periodic and kink solutions of some nonlinear partial differential equations. The thesis consists of five chapters : In chapter one, we present some basic concepts which will be used through out this thesis. Also it shows the historical survey on some different methods which are used for obtaining the solutions of nonlinear partial differential equations and conservation laws. Finally, it contains a description of under-study problem. In chapter two, we use the improved (G′/G) -expansion method to obtain exact solutions of the modified equal width (MEW) equation, modified Benjamin-Bona-Mahony (MBBM) equation and system of coupled equations. Some new traveling wave solutions involving parameters, expressed by three types of functions which are the hyperbolic functions, the trigonometric functions and the rational functions. The solitary wave solutions are derived -#102;-#114;-#111;-#109; the hyperbolic function solutions.