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 dil | İngilizce |
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Ana bilgisayar yayını başlığı | Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference |
Editörler | Herb Kunze, D. Marc Kilgour, Roman Makarov, Roderick Melnik, Xu Wang |
Yayınlayan | Springer New York LLC |
Sayfalar | 579-589 |
Sayfa sayısı | 11 |
ISBN (Basılı) | 9783319997186 |
DOI'lar | |
Yayın durumu | Yayınlandı - 2018 |
Etkinlik | International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017 - Waterloo, Canada Süre: 20 Ağu 2017 → 25 Ağu 2017 |
Yayın serisi
Adı | Springer Proceedings in Mathematics and Statistics |
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Hacim | 259 |
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 |
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Ülke/Bölge | Canada |
Şehir | Waterloo |
Periyot | 20/08/17 → 25/08/17 |
Bibliyografik not
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