Interactions and Focusing of Nonlinear Water Waves
Harihar Khanal, Stefan C. Mancas, Shahrdad Sajjadi
TL;DR
This paper investigates the nonlinear interactions of water waves using coupled nonlinear Schrödinger equations, demonstrating wave focusing phenomena through numerical simulations.
Contribution
It provides a numerical verification of wave focusing in coupled nonlinear Schrödinger equations for water waves, highlighting the dynamics of interacting wave packets.
Findings
Localized large-amplitude wavepackets observed
Wave focusing confirmed numerically
Interactions lead to modulational instability
Abstract
The coupled cubic nonlinear Schr\"odinger (CNLS) equations are used to study modulational instabilities of a pair of nonlinearly interacting two-dimensional waves in deep water. It has been shown that the full dynamics of these interacting waves gives rise to localized large-amplitude wavepackets (wave focusing). In this short letter we attempt to verify this result numerically using a Fourier spectral method for the CNLS equations.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Ocean Waves and Remote Sensing