Rogue waves in baroclinic flows

We investigate an AB system, which can be used to describe marginally unstable baroclinic wave packets in a geophysical fluid. Using the generalized Darboux transformation, we obtain higher-order rogue wave solutions and analyze rogue wave propagation and interaction. We obtain bright rogue waves wi...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2017-05, Vol.191 (2), p.725-737
Main Authors: Zuo, Da-Wei, Gao, Yi-Tian, Feng, Yu-Jie, Xue, Long, Sun, Yu-Hao
Format: Article
Language:English
Subjects:
Applications of Mathematics
Atmospheric pressure
Baroclinic flow
Geophysics
Group velocity
Mathematical and Computational Physics
Nonlinearity
Packets (communication)
Physics
Physics and Astronomy
Propagation velocity
Theoretical
Wave crest
Wave packets
Wave propagation
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Summary:We investigate an AB system, which can be used to describe marginally unstable baroclinic wave packets in a geophysical fluid. Using the generalized Darboux transformation, we obtain higher-order rogue wave solutions and analyze rogue wave propagation and interaction. We obtain bright rogue waves with one and two peaks. For the wave packet amplitude and the mean-flow correction resulting from the self-rectification of the nonlinear wave, the positions and values of the wave crests and troughs are expressed in terms of a parameter describing the state of the basic flow, in terms of a parameter responsible for the interaction of the wave packet and the mean flow, and in terms of the group velocity. We show that the interaction of the wave packet and mean flow and also the group velocity affect the propagation and interaction of the amplitude of the wave packet and the self-rectification of the nonlinear wave.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577917050129