PFAFFIAN REPRESENTATION OF SOLUTIONS TO THE DISCRETE BKP HIERARCHY INBILINEAR FORM

A discrete BKP hierarchy in bilinear form is given. It is shown that t he solutions of the bilinear forms are given in terms of pfaffians and the bilinear equations of a discrete BKP hierarchy are reduced to an identity of pfaffians. The N-soliton solution is explicitly constructe d in terms of the pfaffian. As an example of nonlinear difference equa tions, a difference analogue of the Sawada-Kotera equation is given fr om the discrete BKP hierarchy.