Four-wave mixing and walk-off between two optical beams are! investigated F
or focusing Kerr media. It is shown that four-wave mixing reinforces the se
lf-focusing of mutually trapped waves by lowering their power threshold for
collapse, only when their phase mismatch is small. On the contrary, walk-o
ff inhibits the collapse by detrapping the beams, whose partial centroids e
xperience nonlinear oscillations.