The February 1996 Peruvian earthquake generated a larger tsunami than
expected from its surface magnitude. This discrepancy as well as the l
ong rupture duration indicate that this event is a 'tsunami earthquake
'. The associated tsunami was strong locally with runup heights of 1 t
o 5 meters along a coastline of 400 km. It is shown that this tsunami
can be modeled for a seismic moment of 2.10(20) Nm, using a rigidity o
f 2.10(10) N/m(2). The tsunami propagation is modeled solving long wav
e equations by a finite difference method. The maximum run-up heights
in the region of Chimbote can be simulated using a grid increment of 1
0 meters. The propagation of this small tsunami across the Pacific Oce
an is modeled taking into account frequency dispersion. The only notab
le amplification occurred in the Marquesas Islands where wave heights
of 2 meters were observed and are simulated.