  In this letter, taking the well known (2+1)-dimensional soliton systems,
Davey-Stewartson (DS) model and the asymmetric Nizhnik-Novikov-Veselov (ANNV)
model, as two special examples, we show that some types of lower dimensional
chaotic behaviors may be found in higher dimensional soliton systems.
Especially, we derive the famous Lorenz system and its general form from the DS
equation and the ANNV equation. Some types of chaotic soliton solutions can be
obtained from analytic expression of higher dimensional soliton systems and the
numeric results of lower dimensional chaos systems. On the other hand, by means
of the Lax pairs of some soliton systems, a \em lower \rm dimensional chaos
system may have some types of \em higher \rm dimensional Lax pairs. An explicit
(2+1)-dimensional Lax pair for a (1+1)-dimensional chaotic equation is given.
