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|
|Copyright:||Copyright of this thesis is held by the author|
|Deposited On:||14 Mar 2014 16:59|