  A kinetic approach to the Bose-Einstein condensates (BECs) is proposed, based
on the Wigner-Moyal equation (WME). In the quasi-classical limit, the WME
reduces to the particle number conservation equation. Two examples of
application are: i) a self-phase modulation of a BE condensate beam where we
show that part of the beam is decelerated and eventually stops as a result of
the gradient of the effective self-potential; ii) the derivation of a kinetic
dispersion relation for sound waves in the BECs, including a collisionless
Landau damping.
