  In the last two decades, thousands of extrasolar planets were discovered
based on different observational techniques, and their number must increase
substantially in virtue of the ongoing and near-future approved missions and
facilities. It is shown that interesting signatures of binary systems from
nearby exoplanets and their parent stars can also be obtained measuring the
pattern of gravitational waves that will be made available by the new
generation of detectors including the space-based LISA (Laser Interferometer
Space Antenna) observatory. As an example, a subset of exoplanets with
extremely short periods (less than 80 min) is discussed. All of them have
gravitational luminosity, $L_{GW} \sim 10^{30}$ $erg/s$, strain $h \sim
10^{-22}$, frequencies $f_{gw} > 10^{-4}$Hz, and, as such, are within the
standard sensitivity curve of LISA. Our analysis suggests that the emitted
gravitational wave pattern may also provide an efficient tool to discover ultra
short period exoplanets.
