  We analyze three different high-order nonlinear Schr\"{o}dinger equation
(HONLSE) models that have been used in the literature to describe the evolution
of slowly modulated gravity waves on the surface of ideal finite-depth fluid.
We demonstrate that the inclusion of the fifth-order nonlinear term to the
HONLSE model introduces only a small correction to the amplitude of the bright
HONLSE soliton solutions obtained without this term. Such soliton slutions
behave as quasi-solitons in this more general case.
