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arXiv · 1809.09965

The effects of interplay between the rotation and shoaling for a solitary wave on variable topography

Y. A. Stepanyants
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Abstract

This paper presents specific features of solitary wave dynamics within the framework of the Ostrovsky equation with variable coefficients in relation to surface and internal waves in a rotating ocean with a variable bottom topography. For solitary waves moving toward the beach, the terminal decay caused by the rotation effect can be suppressed by the shoaling effect. Two basic examples of a bottom profile are analyzed in detail and supported by direct numerical modelling. One of them is a constant-slope bottom and the other is a specific bottom profile providing a constant amplitude solitary wave. Estimates with real oceanic parameters show that the predicted effects of stable soliton dynamics in a coastal zone can occur, in particular, for internal waves.

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Y. A. Stepanyants. 2018-12-08. The effects of interplay between the rotation and shoaling for a solitary wave on variable topography. https://doi.org/10.1111/sapm.12255

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