A selfsplitting of the beams entering a waveguide made of a quadratic nonlinear material is observed numerically. Relative π phase differences between harmonics as positively contributing to linear diffraction are shown to trigger the effect. Formation of solitons out of this energy so that a Y-branched structure is nonlinearly induced, is shown to be dependent on input and material parameters. Simple setups should provide the means for experimental observation of the predicted phenomena.
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