Any meromorphic solution of the KdV equation which is doubly periodic in (i.e., the elliptic soultion) is of the form
with all distinct except at isolated instants of time, where is the Weierstrass functions (with periodics , ). The dynamics of the poles are governed by the constrained dynamical system
Any number is allowed. If is large enough and , then nonequivalent configurations satisfying the constraint exist that do not flow into each other. The are allowed to coincide only in triangular numbers: if some of the coincide at , then of them coincide at and
for some (where ). Explicit solutions with are presented with figures displaying the motion of poles and the shape of the solution .