Rogue Waves in the Generalized Davey-Stewartson System

Mervenur Belin, Irma Hacinliyan*

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Özet

In this study, we consider rogue waves, which appear and disappear suddenly with large amplitudes, in the generalized Davey-Stewartson (GDS) system found in acoustics and discuss their dynamic structure. For the rogue wave solutions, we first obtain the Hirota bilinear form of the GDS system through rational and bilogarithmic transformations. Then, forming the solutions of the GDS system through determinants of matrices, we obtain three types of rogue wave solutions depending on the size of the matrices and the order of the N-rational solutions: fundamental (line), multi- and higher-order rogue waves. We report the behavior and differences of these three types of rogue waves and explain the change in the waves with respect to time.

Orijinal dilİngilizce
Ana bilgisayar yayını başlığıRecent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference
EditörlerHerb Kunze, D. Marc Kilgour, Roman Makarov, Roderick Melnik, Xu Wang
YayınlayanSpringer New York LLC
Sayfalar579-589
Sayfa sayısı11
ISBN (Basılı)9783319997186
DOI'lar
Yayın durumuYayınlandı - 2018
EtkinlikInternational conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017 - Waterloo, Canada
Süre: 20 Ağu 201725 Ağu 2017

Yayın serisi

AdıSpringer Proceedings in Mathematics and Statistics
Hacim259
ISSN (Basılı)2194-1009
ISSN (Elektronik)2194-1017

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???event.eventtypes.event.conference???International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017
Ülke/BölgeCanada
ŞehirWaterloo
Periyot20/08/1725/08/17

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Publisher Copyright:
© 2018, Springer Nature Switzerland AG.

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