EGU22-1533, updated on 27 Mar 2022
https://doi.org/10.5194/egusphere-egu22-1533
EGU General Assembly 2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.

Self-modulation of oceanic waves on an ice-covered surface

Alexey Slunyaev1,2 and Yury Stepanyants3,4
Alexey Slunyaev and Yury Stepanyants
  • 1National Research University – Higher School of Economics, Russia
  • 2Institute of Applied Physics of the Russian Academy of Sciences, Russia (Slunyaev@appl.sci-nnov.ru)
  • 3School of Sciences, University of Southern Queensland, Australia (Yury.Stepanyants@usq.edu.au)
  • 4Department of Applied Mathematics, Nizhny Novgorod State Technical University, n.a. R.E. Alekseev, Russia

We study the self-modulation of flexural-gravity waves on a water surface covered by a compressed ice sheet. For weakly nonlinear long perturbations of the potential flow, we derive the nonlinear Schrödinger equation and investigate the conditions when a quasi-sinusoidal wave becomes unstable with respect to the amplitude modulation. The domains of instability are presented in the planes of parameters depending on the values of the local water depth, and the coefficients of ice rigidity/elasticity and of longitudinal stress. We show that under some conditions the occurrence of the modulational instability of oceanic waves under ice looks feasible and present estimates for the real oceanic conditions. Depending on the conditions, bright envelope solitons or dark solitons can emerge on the surface.

A.S. acknowledges the support from Laboratory of Dynamical Systems and Applications NRU HSE (the Ministry of Science and Higher Education of the Russian Federation Grant No. 075-15-2019-1931) and by the Russian Foundation for Basic Research (Grant No. 21-55-15008). Y.S. acknowledges the funding provided by the grant No. FSWE-2020-0007 through the State task program in the sphere of scientific activity of the Ministry of Science and Higher Education of the Russian Federation.

How to cite: Slunyaev, A. and Stepanyants, Y.: Self-modulation of oceanic waves on an ice-covered surface, EGU General Assembly 2022, Vienna, Austria, 23–27 May 2022, EGU22-1533, https://doi.org/10.5194/egusphere-egu22-1533, 2022.

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