We show that resonant wave mixing that is due to quadratic nonlinearit
y can support stable bright spatial solitons, even in the most counter
intuitive case of a bulk medium with defocusing Kerr nonlinearity. We
analyze the structure and stability of such self-guided beams and demo
nstrate that they can be generated from a Gaussian input beam, provide
d that its power is above a certain threshold. (C) 1997 Optical Societ
y of America.