Abstract
Branching of spatial solitary waves due to quadratic parametric interactions in the vectorial frequency-degenerate case is discussed. The phenomenon, favoured by balanced inputs at the fundamental frequency in the absence of a second-harmonic seed, does not rely on the presence of birefringent walk-off. Beam breakup into several solitary beams propagating along different directions is interpreted in terms of amplitude and phase modulation of the wave transverse distributions.
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