On the modelling of short and intermediate water waves

Authors

Rossen I. Ivanov, Technological University Dublin

Document Type

Article

Publication Details

https://doi.org/10.1016/j.aml.2023.108653

Abstract

The propagation of water waves of finite depth and flat bottom is studied in the case when the depth is not small in comparison to the wavelength. This propagation regime is complementary to the long-wave regime described by the famous KdV equation. The Hamiltonian approach is employed in the derivation of a model equation in evolutionary form, which is both nonlinear and nonlocal, and most likely not integrable. Possible implications for the numerical solutions are discussed.

DOI

10.1016/j.aml.2023.108653

Recommended Citation

Ivanov, R. I. (2023). On the modelling of short and intermediate water waves. Applied Mathematics Letters, 142, Article 108653. https://doi.org/10.1016/j.aml.2023.108653

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.