  Delay-difference and delay-differential analogues of the KdV and Boussinesq
(BSQ) equations are presented. Each of them has the N-soliton solution and
reduces to an already known soliton equation as the delay parameter approaches
0. In addition, a delay-differential analogue of the KP equation is proposed.
We discuss its N-soliton solution and the limit as the delay parameter
approaches 0. Finally, the relationship between the delay-differential
analogues of the KdV, BSQ, and KP equations is clarified. Namely, reductions of
the delay KP equation yield the delay KdV and delay BSQ equations.
