Journal
PHYSICAL REVIEW E
Volume 86, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.86.056602
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Funding
- Australian Research Council [DP110102068]
- Volkswagen Stiftung
- Alexander von Humboldt Award (Germany)
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By numerically applying the recursive Darboux transformation technique, we study high-order rational solutions of the nonlinear Schrodinger equation that appear spatiotemporally as triangular arrays of Peregrine solitons. These can be considered as rogue wave cascades and complement previously discovered circular cluster forms. In this analysis, we reveal a general parametric restriction for their existence and investigate the interplay between cascade and cluster forms. As a result, we demonstrate how to generate many more hybrid rogue wave solutions, including semicircular clusters that resemble claws.
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