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NHESS | Articles | Volume 19, issue 3
Nat. Hazards Earth Syst. Sci., 19, 583–587, 2019
https://doi.org/10.5194/nhess-19-583-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
Nat. Hazards Earth Syst. Sci., 19, 583–587, 2019
https://doi.org/10.5194/nhess-19-583-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Brief communication 19 Mar 2019

Brief communication | 19 Mar 2019

Brief communication: Modulation instability of internal waves in a smoothly stratified shallow fluid with a constant buoyancy frequency

Kwok Wing Chow et al.
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Cited articles  
Ablowitz, M. J. and Segur, H.: On the evolution of packets of water waves, J. Fluid Mech., 92, 691–715, 1979. 
Akhmediev, N., Ankiewicz, A., and Soto-Crespo, J. M.: Rogue waves and rational solutions of the nonlinear Schrödinger equation, Phys. Rev. E, 80, 026601, https://doi.org/10.1103/PhysRevE.80.026601, 2009. 
Apel, J. R., Ostrovsky, L. A., Stepanyants, Y. A., and Lynch, J. F.: Internal solitons in the ocean and their effect on underwater sound, J. Acoust. Soc. Am., 121, 695–722, 2007. 
Baronio, F., Chen, S., Grelu, P., Wabnitz, S., and Conforti, M.: Baseband modulation instability as the origin of rogue waves, Phys. Rev. A, 91, 033804, https://doi.org/10.1103/PhysRevA.91.033804, 2015. 
Chan, H. N. and Chow, K. W.: Rogue waves for an alternative system of coupled Hirota equations: Structural robustness and modulation instabilities, Stud. Appl. Math., 139, 78–103, 2017. 
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Short summary
Oceanic rogue waves are unexpectedly large displacements from a tranquil background and pose dangers to shipping and offshore structures. A formulation of such abrupt, transient motions in the interior of the oceans is proposed. For constant buoyancy frequency, such internal rogue waves can occur in shallow fluids of various internal mode numbers, which is in strong contrast with surface rogue waves. Internal waves are crucial in oceanography as they affect transport of heat, mass and energy.
Oceanic rogue waves are unexpectedly large displacements from a tranquil background and pose...
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