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العنوان
Exact Solutions of Some Nonlinear Evolution Equations of Interest /
الناشر
Mohamed Gamal Mohamed Ibrahim Ghazal,
المؤلف
Ghazal, Mohamed Gamal Mohamed Ibrahim.
هيئة الاعداد
باحث / Mohamed Gamal Mohamed Ibrahim Ghazal
مشرف / Mostafa F. El-Sabbagh
مشرف / Momdouh M. Hassan
الموضوع
Mathematics.
تاريخ النشر
2008 .
عدد الصفحات
95 p. ;
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2008
مكان الإجازة
جامعة المنيا - كلية العلوم - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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Abstract

The effort for finding the exact solutions of nonlinear partial differential
equations (PDEs) is important for understanding of almost nonlinear
physical phenomena. Until now, there is still no general method for finding
analytical solutions to all nonlinear PDEs. There are many methods for
obtaining exact solutions of nonlinear PDEs. Some of the most important
methods are the Bäcklund transformation method, the Painlevé expansion
method and the inverse scattering method. Recently, there are direct
methods to obtain these solutions. Among these methods sine-cosine
method, the tanh-function method, the generalized tanh function method,
Jacobi elliptic function method, F-expansion method, generalized Jacobi
elliptic function method and Exp-function methods. In this thesis, we study
some nonlinear PDEs and find more exact solutions of these equations
through some methods mentioned above.