On the extension of solutions of the real to complex KdV equation and a mechanism for the construction of rogue waves

Rogue waves are more precisely defined as waves whose height is more than twice the significant wave height. This remarkable height was measured (by Draupner in 1995). Thus, the need for constructing a mechanism for the rogue waves is of great utility. This motivated us to suggest a mechanism, in th...

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Bibliographic Details
Published in:Waves in random and complex media 2016-07, Vol.26 (3), p.397-406
Main Authors: Abdel-Gawad, H. I., Tantawy, M., Abo Elkhair, R. E.
Format: Article
Language:English
Subjects:
Complex media
Consolidation
Construction
Mathematical analysis
Nonlinearity
Solitons
Utilities
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Summary:Rogue waves are more precisely defined as waves whose height is more than twice the significant wave height. This remarkable height was measured (by Draupner in 1995). Thus, the need for constructing a mechanism for the rogue waves is of great utility. This motivated us to suggest a mechanism, in this work, that rogue waves may be constructed via nonlinear interactions of solitons and periodic waves. This suggestion is consolidated here, in an example, by studying the behavior of solutions of the complex (KdV). This is done here by the extending the solutions of its real version.
ISSN:1745-5030
1745-5049
DOI:10.1080/17455030.2016.1161863