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Durham e-Theses
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Differential geometric prolongations of solution equations

El-Sabbagh, Mostafa F (1980) Differential geometric prolongations of solution equations. Doctoral thesis, Durham University.



This thesis is a study in the field of partial differential equations on differentiable manifolds. In particular non-linear evolution equations with solution solutions are studied by means of differential geometric tools and methods. Differential geometric prolongation technique is applied to the A.K.N.S. system as a unifying system for known 2-dimension solutions. Solution properties are studied in this differential geometric set up. The results are used to obtain a possible model for n-dimensional solutions.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1980
Copyright:Copyright of this thesis is held by the author
Deposited On:14 Mar 2014 16:59

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