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Spatial solitons in quadratically nonlinear media result from the interplay of parametric gain, diffraction and cascading phase shift. Their main features are well understood in mathematical terms, and several experiments have been successfully carried out which demonstrate their observability and most important properties. Here we provide an intuitive interpretation of the underlying physics, outlining the processes that govern their excitation, propagation and collisional interactions.
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Assanto et al. (2002) studied this question.
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