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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 19, issue 2
Nonlin. Processes Geophys., 19, 265–272, 2012
https://doi.org/10.5194/npg-19-265-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Nonlinear waves in the ocean

Nonlin. Processes Geophys., 19, 265–272, 2012
https://doi.org/10.5194/npg-19-265-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 03 Apr 2012

Research article | 03 Apr 2012

Mass and momentum transfer by solitary internal waves in a shelf zone

N. Gavrilov1,2, V. Liapidevskii1,2, and K. Gavrilova1,2 N. Gavrilov et al.
  • 1Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia
  • 2Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract. The evolution of large amplitude internal waves propagating towards the shore and more specifically the run up phase over the "swash" zone is considered. The mathematical model describing the generation, interaction, and decaying of solitary internal waves of the second mode in the interlayer is proposed. The exact solution specifying the shape of solitary waves symmetric with respect to the unperturbed interface is constructed. It is shown that, taking into account the friction on interfaces in the mathematical model, it is possible to describe adequately the change in the phase and amplitude characteristics of two solitary waves moving towards each other before and after their interaction. It is demonstrated that propagation of large amplitude solitary internal waves of depression over a shelf could be simulated in laboratory experiments by internal symmetric solitary waves of the second mode.

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