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Interaction of two sea surface waves over a sloping bottom

  • Fluid Mechanics
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Abstract

A nonlinear model is constructed for the motion of long surface waves over a sloping bottom in the shallow-water approximation. It is shown that if a linear solution is known, the quadratic and cubic nonlinear corrections can be expressed in terms of the derivatives of the functions determining the linear solution. The developed method is applied to the interaction of two periodic waves in the near-shore area.

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Authors and Affiliations

  1. Wave Research Center, Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    M. A. Shermeneva

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  1. M. A. Shermeneva
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Correspondence to M. A. Shermeneva.

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Shermeneva, M.A. Interaction of two sea surface waves over a sloping bottom. Phys. Wave Phen. 19, 224–227 (2011). https://doi.org/10.3103/S1541308X11030095

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  • DOI: https://doi.org/10.3103/S1541308X11030095

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