Extension of the discrete KP hierarchy
Extension of the discrete KP hierarchy
In this paper we discuss possible generalizations of the discrete KP (Toda lattice) hierarchy. As a result, we introduce the integrable hierarchy which can be considered as the proper extension of the discrete KP hierarchy. Such extension forces us to introduce an infinite number of additional multi-times t(n)≡(t(n)1≡x(n),t(n)2,...), n⩾2, whereas …