This work performs a search of phase-steepened Alfven waves under a priori
ideal conditions: a high-speed solar wind stream observed in one of the clo
sest approaches to the Sun by any spacecraft (Helios 2). Five potential can
didates were initially found following procedures established in earlier wo
rk. The observed cases exhibited are-like or elliptical polarizations, and
the rotational discontinuities that formed the abrupt wave edges were found
at either the leading or the trailing part. The consideration of some addi
tional specific parameters (mainly related to the relative orientation betw
een mean magnetic field, wave and discontinuity) has been suggested here fo
r an ultimate and proper identification of this kind of phenomenon. After t
he inclusion of these calculations in our analysis, even fewer cases than t
he five originals remain. It is suggested that optimum conditions for the d
etection rather than just for the existence of these events have to be reco
nsidered.