Rogue waves and periodic solutions of a nonlocal nonlinear Schrödinger model

In the present work the authors consider the existence of rational solutions in a nonlocal nonlinear Schrquot{o}dinger (NLS) model using numerical continuation from the relative local NLS limit. The findings suggest that these structures are not particular to the integrable limit and can be continued in the nonlocal, non-integrable case. In addition, as the structures are continued they develop undulations which in some cases suggest connections with other states that have been recently identified in integrable models, namely rogue waves mounted on elliptic function, spatially periodic structures.

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