arXiv Open Access 2022

Hamiltonian model for coupled surface and internal waves over currents and uneven bottom

Lili Fan Ruonan Liu Hongjun Gao

Lihat Sumber

Abstrak

A Hamiltonian model for the propagation of internal water waves interacting with surface waves, a current and an uneven bottom is examined. Using the so-called Dirichlet-Neumann operators, the water wave system is expressed in the Hamiltonian form, and thus the motions of the internal waves and surface waves are determined by the Hamiltonian formulation. Choosing an appropriate scaling of the variables and employing the Hamiltonian perturbation theory from Hamiltonian formulation of the dynamics, we derive a KdV-type equation with variable coefficients depending on the bottom topography to describe the internal waves.

Topik & Kata Kunci

physics.flu-dyn math-ph

Penulis (3)

Lili Fan

Ruonan Liu

Hongjun Gao

Format Sitasi

APA MLA BibTeX

Fan, L., Liu, R., Gao, H. (2022). Hamiltonian model for coupled surface and internal waves over currents and uneven bottom. https://arxiv.org/abs/2206.09497

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓