الفهرس 
ملخص الرسالة
The method of characteristicsOnly 14 pages are availabe for public view
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Abstract
In this thesis we introduced anew class of nonlinear dissipative dispersive partial differential equations with evolution type .this class contains, as elements , many of the well know equation such as the KdV equation.
In the first subclass the method of character istics was used to establish well-posedness. This was done by firstly, reducing . the equations to afirst order system of partial differential equations in astandard manner. By passing to characteristic coordinates , this system be comes a system of ordinary differential equations and hence.
For those equivalence classes which have lower than third order derivatives, the method of characteristic fails, we stablished well-posedness of the second subclass.
We found that it has aunique solution locally. We couldnot extend the solution globally and the reasons behind this difficulty is thought to be the failure of finding more than one conservation law. Than one can develop a sequencing procedures to examine the behaviour of the properties of the KdV and the modified KdV as a limiting point of this neighbourhood