Water wave collapses over quasi-one-dimensional non-uniformly periodic bed profiles

TL;DR

This paper investigates nonlinear water wave interactions with non-uniformly periodic beds, revealing spontaneous localized wave structures resembling collapses through numerical simulations.

Contribution

It introduces an approximate numerical model for wave-envelope interactions over complex bed profiles, demonstrating wave collapse phenomena in deep-water regimes.

Findings

Localized wave structures form spontaneously in simulations

Wave collapse phenomena observed over non-uniformly periodic beds

Numerical evidence supports wave-envelope interaction models

Abstract

Nonlinear water waves interacting with quasi-one-dimensional, non-uniformly periodic bed profiles are studied numerically in the deep-water regime with the help of approximate equations for envelopes of the forward and backward waves. Spontaneous formation of localized two-dimensional wave structures is observed in the numerical experiments, which looks essentially as a wave collapse.