It is shown that the mutual trapping of the fundamental and second-har
monic beams in a diffractive (or dispersive) medium with quadratic non
linearity can support a family of two-wave (2+1)-dimensional solitons
of circular symmetry. The stability analysis shows that these (2+1)dim
ensional solitons are stable in the physically important region of par
ameters, although unstable solitons are also revealed and their instab
ility dynamics is analyzed numerically. phase-dependent and, in some c
ases, nondestructive collisions of these solitons are also considered.