Work

Homogenized Korteweg–de Vries and Boussinesq models for anisotropic propagation of solitary waves over a structured bathymetry

Year: 2025

Type: article

Abstract: We derive effective Boussinesq and Korteweg–de Vries equations governing nonlinear wave propagation over a structured bathymetry using a three-scale homogenization approach. The model captures the anisotropic effects induced by the bathymetry, leading to significant modifications in soliton dynamics. Homogenized parameters, determined from elementary cell problems, reveal strong directional dependencies in wave speed and dispersion. Our results provide new insights into nonlinear wave propagation in structured shallow-water environments, and consequently motivate further fundamental and applied studies in wave hydrodynamics and coastal engineering.

Source: Journal of Fluid Mechanics

DOI: 10.1017/jfm.2025.10882

Authors: Kim Pham, Agnès Maurel, Amin Chabchoub

Institutions: Institut Polytechnique de Paris, Université Paris Sciences et Lettres, Sorbonne Université, Okinawa Institute of Science and Technology Graduate University, The University of Melbourne

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: University of Cambridge, Agence Nationale de la Recherche, Cabinet Office, Government of Japan, Okinawa Institute of Science and Technology Graduate University