Geodesic
Rogue waves in baroclinic flows
Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 2, pp. 291-303

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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.
Keywords: baroclinic flow
Mots-clés : rogue wave, Darboux transformation. 
@article{TMF_2017_191_2_a11,
     author = {Da-Wei Zuo and Yi-Tian Gao and Yu-Jie Feng and Long Xue and Yu-Hao Sun},
     title = {Rogue waves in baroclinic flows},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {291--303},
     publisher = {mathdoc},
     volume = {191},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_191_2_a11/}
}
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Da-Wei Zuo; Yi-Tian Gao; Yu-Jie Feng; Long Xue; Yu-Hao Sun. Rogue waves in baroclinic flows. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 2, pp. 291-303. http://geodesic.mathdoc.fr/item/TMF_2017_191_2_a11/