  We use the high-order nonlinear Schr\"{o}dinger equation (NLSE) derived to
model the evolution of slowly modulated wave trains with narrow spectrum on the
surface of ideal finite-depth fluid. This equation is the finite-depth
counterpart of celebrated Dysthe's equation, which is usually used for the same
purpose in the case of infinite depth. We demonstrate that this generalized
equation admits bright soliton solutions for depths below the modulation
instability threshold $kh\approx 1.363$ ($k$ being the carrier wave number and
$h$ the undisturbed fluid depth), which is not possible in the case of standard
NLSE. These bright solitons can exist along with the dark solitons that have
recently been observed in a water wave tank [Phys. Rev. Lett. 110, 124101
(2013)].
