  A generalized KdV equation is formulated as an exterior differential system,
which is used to determine the prolongation structure of the equation. The
prolongation structure is obtained for several cases of the variable powers,
and nontrivial algebras are determined. The analysis is extended to a
differential system which gives the Camassa-Holm equation as a particular case.
The subject of conservation laws is briefly discussed for each of the
equations. A Backlund transformation is determined using one of the
prolongations.
