Document Details

Document Type : Thesis 
Document Title :
RELIABLE TREATMENT OF SOME NONLINEAR EVOLUTION EQUTIONS
معالجة معتمدة لبعض معادلات التطور اللاخطية
 
Subject : mathematics department 
Document Language : Arabic 
Abstract : Exact solutions to nonlinear partial differential equations play an important role for understanding qualitative as well as quantitative features of many phenomena and processes. The main aim of this thesis is to use symbolic computational methods to treat some nonlinear evolution equations and obtain their exact solutions. In addition, we have modified projective Riccati equation method to give more solutions. The thesis has been divided into four chapters. Chapter one is introductory in nature, it includes some definitions related to the subject matter and some basic concepts. A brief summary of literature is introduced some computational methods. Finally we derive three special cases for our method. In the second chapter, we give an overview of the projective Riccati equation method and then develop the method by making some modifications in the projective Riccati equation method. The reason for this is to obtain more solutions. Finally, we derived some known methods as special cases of the modified generalized projective Riccati equation method. In the third chapter we use one of the modifications to solve the Joseph Egri equation, modified Joseph Egri equation and generalized Joseph Egri equation. In the fourth chapter we use the method to solve the Dreinfeld.s-Sokolov- Wilson system. 
Supervisor : Dr. Luwai wazzan 
Thesis Type : Master Thesis 
Publishing Year : 1433 AH
2012 AD 
Added Date : Sunday, March 11, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
شفيق عبده غالبGhaleb, Shafeek AbduResearcherMaster 

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