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Shallow-water rogue waves: An approach based on complex solutions of the Korteweg-de Vries equation

Ankiewicz, Adrian; Bokaeeyan, Mahyar; Akhmediev, Nail


The formation of rogue waves in shallow water is presented in this Rapid Communication by providing the three lowest-order exact rational solutions to the Korteweg–de Vries (KdV) equation. They have been obtained from the modified KdV equation by using the complex Miura transformation. It is found that the amplitude amplification factor of such waves formed in shallow water is much larger than the amplitude amplification factor of those occurring in deep water. These solutions clearly...[Show more]

CollectionsANU Research Publications
Date published: 2019
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.99.050201
Access Rights: Open Access


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