Abstract
In this research we dealt with the theory of Exterior differential systems and it‘s
applications. In particular we were concerned with applications to partial
differential equations. A
Several approaches have been discussed, including Cartan equivalence method,
Lie symmetry-method and Cartan-Kahler mefl1od.
Our main problem has been the existence of integral manifolds of some integral
elements. The uniqueness problem has also been treated. We have illustrated our
notions, theorems and techniques with some examples.
