Abstract
The formation of solitary waves (SW) in media with periodically alternating sign of nonlinearity is investigated under a geometrical phase space approach. It is shown that a remarkably rich set of all types of SW, including bright, dark, antidark, and kink solitons is supported by this type of structure. The existence conditions of all SW are systematically defined in the parameter space of the system and their propagation dynamics are investigated through numerical simulations.
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