كلية العلوم الرياضية والاحصاء
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Item The Geometric Structure 0f Group Invariant Solutions Of Difierential Operators(Neelain University, 2005) Abdelgadir Ahmed Hammdan OmerAbstract Group invariant solutions have been used to a great effect in the description of the asymptotic behaviour of many general solution to systems of partial differential equations. The rigorous foundation of the general method for constructing group — invariant solution requires advanced formalism of differential geometry. From our point of view the Fibre bundle over a quotient manifold approach seems very promising in analyzing the mechanism of group-invariant solutions and classifying different types of behaviour of a system. In this research we shall explore the bundle over a quotient space approach. Our applications will are on some partial differential equations.Item The Geometric Structure 0f Group Invariant Solutions Of Difierential Operators(Neelain University, 2005) Abdelgadir Ahmed Hammdan OmerAbstract Group invariant solutions have been used to a great effect in the description of the asymptotic behaviour of many general solution to systems of partial differential equations. The rigorous foundation of the general method for constructing group — invariant solution requires advanced formalism of differential geometry. From our point of view the Fibre bundle over a quotient manifold approach seems very promising in analyzing the mechanism of group-invariant solutions and classifying different types of behaviour of a system. In this research we shall explore the bundle over a quotient space approach. Our applications will are on some partial differential equations