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This article is cited in 25 scientific papers (total in 25 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
Rogue waves in the basin of intermediate depth and the possibility of their formation due to the modulational instability
I. I. Didenkulovaabc, I. F. Nikolkinaac, E. N. Pelinovskydc a Institute of Cybernetics at Tallinn University of Technology
b MARUM — Center for Marine Environmental Sciences, University of Bremen
c Nizhny Novgorod State Technical University
d Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod
Abstract:
Properties of rogue waves in the basin of intermediate depth
are discussed in comparison with known properties of rogue waves in deep waters.
Based on observations of rogue waves in the ocean of intermediate depth
we demonstrate that the modulational instability can still play a significant role
in their formation for basins of $20$ m and larger depth.
For basins of smaller depth, the influence of modulational instability
is less probable.
By using the rational solutions of the nonlinear Schrödinger equation (breathers),
it is shown that the rogue wave packet becomes wider and contains
more individual waves in intermediate rather than in deep waters,
which is also confirmed by observations.
Received: 01.11.2012 Revised: 16.01.2013
Citation:
I. I. Didenkulova, I. F. Nikolkina, E. N. Pelinovsky, “Rogue waves in the basin of intermediate depth and the possibility of their formation due to the modulational instability”, Pis'ma v Zh. Èksper. Teoret. Fiz., 97:4 (2013), 221–225; JETP Letters, 97:4 (2013), 194–198
Linking options:
https://www.mathnet.ru/eng/jetpl3355 https://www.mathnet.ru/eng/jetpl/v97/i4/p221
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Abstract page: | 198 | Full-text PDF : | 59 | References: | 32 | First page: | 2 |
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