  In this paper we consider integrable dispersive chains associated with the so
called Energy Dependent Schrodinger operator. In a general case multi component
reductions of these dispersive chains are new integrable systems, which are
characterised by two arbitrary natural numbers. Also we show that integrable
three dimensional linearly degenerate quasilinear equations of a second order
possess infinitely many differential constraints. Corresponding dispersive
reductions are integrable systems associated with the Energy Dependent
Schrodinger operator.
