ra0001">Nonlinear Kerr media with weak nonlocal or nearly instantaneous response is studied.
ra0002">Possibility for these nonlinear media to exhibit compact bright pulse is investigated.
ra0003">We find that compact bright pulse may be propagating at the zero dispersion wavelength.
ra0004">Ultrashort pulse may also exist out of the zero dispersion wavelength.
ra0005">Linear dispersion can transform compact bright pulse into the ultrashort pulse.