Darboux and Bäcklund transformations for the nonisospectral KP equation

Darboux transformation and Bäcklund transformation in bilinear form for the nonisospectral KP equation are first investigated. Corresponding solutions are derived by using the Bäcklund transformation in bilinear form. It has been shown that these transformations are auto-Bäcklund transformations for isospectral problems while not for nonisospectral ones.