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Updated: May 16, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
Published on: February 13, 2018
Triangular rogue wave cascades
David J Kedziora1, Adrian Ankiewicz, Nail Akhmediev
1Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200, Australia. djk105@rsphysse.anu.edu.au
Abstract:
By numerically applying the recursive Darboux transformation technique, we study high-order rational solutions of the nonlinear Schrödinger 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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