  A dressing method is applied to a matrix Lax pair for the Camassa-Holm
equation, thereby allowing for the construction of several global solutions of
the system. In particular solutions of system of soliton and cuspon type are
constructed explicitly. The interactions between soliton and cuspon solutions
of the system are investigated. The geometric aspects of the Camassa-Holm
equation ar re-examined in terms of quantities which can be explicitly
constructed via the inverse scattering method.
