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The generation of capillary-gravity solitary waves by a surface pressure forcing

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  • Akers, Benjamin

Abstract

A weakly nonlinear model is used to study capillary-gravity waves generated by a traveling localized surface pressure distribution. The weakly nonlinear model is a truncation of the potential flow equations in deep water, and includes cubic nonlinear terms. Numerically, solitary waves are shown to be generated by a near-monochromatic, subcritical forcing. The presence of these solitary waves is predicted using a forced nonlinear Schrödinger equation.

Suggested Citation

  • Akers, Benjamin, 2012. "The generation of capillary-gravity solitary waves by a surface pressure forcing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(6), pages 958-967.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:6:p:958-967
    DOI: 10.1016/j.matcom.2010.09.012
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    1. Părău, Emilian I. & Vanden-Broeck, Jean-Marc & Cooker, Mark J., 2007. "Three-dimensional gravity and gravity-capillary interfacial flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(2), pages 105-112.
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    Cited by:

    1. Kristina O. F. Williams & Benjamin F. Akers, 2023. "Numerical Simulation of the Korteweg–de Vries Equation with Machine Learning," Mathematics, MDPI, vol. 11(13), pages 1-14, June.

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