DARBOUX AND BINARY DARBOUX TRANSFORMATIONS FOR THE NONAUTONOMOUS DISCRETE KP EQUATION

It is shown how Darboux and binary Darboux transformations for a nonau tonomous discrete KP equation can be obtained from fermion analysis. T his equation is obtained by considering a generalized Miwa transformat ion; it is also shown to be linked to the discrete KP equation by a sp ecial gauge transformation. The Darboux and binary Darboux transformat ions are used to discuss general classes of solutions in the form of C asorati- and Gramm-type determinants. N-soliton solutions are discusse d as well. (C) 1997 American Institute of Physics.