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Infinitely extended complex KdV equation and its solutions: solitons and rogue waves

Ankiewicz, Adrian; Bokaeeyan, Mahyar; Akhmediev, Nail


We present an infinitely-extended KdV equation that contains an infinite number of arbitrary real coefficients controlling higher-order terms in the extended evolution equation. The higher-order terms are chosen in a way that maintains the integrability of the whole equation. Another significant step in this work is that this extended equation admits complex-valued solutions. This generalization allows us to consider both solitons and rogue waves in the form of rational solutions of this...[Show more]

CollectionsANU Research Publications
Date published: 2020-01-29
Type: Journal article
Source: Physica Scripta
DOI: 10.1088/1402-4896/ab5290
Access Rights: Open Access


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