Using a relativistic transport model, we study the azimuthal momentum asymm
etry of kaons with fixed transverse momentum, i.e., the differential flow,
in heavy-ion collisions at beam momentum of 6 GeV/c per nucleon, available
from the Alternating Gradient Synchrotron (AGS) at the Brookhaven National
Laboratory (BNL). We find that in the absence of kaon potential the kaon di
fferential flow is positive and increases with transverse momentum as that
of nucleons. The repulsive kaon potential as predicted by theoretical model
s, however, reduces the kaon differential flow, changing it to negative for
kaons with low transverse momenta. Cancellation between the negative diffe
rential flow at low momenta and the positive one at high momenta is then re
sponsible for the experimentally observed nearly vanishing in-plane transve
rse flow of kaons in heavy-ion experiments. [S0556-2813(99)02109-3].