A Hamiltonian structure of the Isobe-Kakinuma model for water waves
Analysis of PDEs
2021-10-01 v1
Abstract
We consider the Isobe-Kakinuma model for water waves, which is obtained as the system of Euler-Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show that the Isobe-Kakinuma model also enjoys a Hamiltonian structure analogous to the one exhibited by V. E. Zakharov on the full water wave problem and, moreover, that the Hamiltonian of the Isobe-Kakinuma model is a higher order shallow water approximation to the one of the full water wave problem.
Keywords
Cite
@article{arxiv.1910.01026,
title = {A Hamiltonian structure of the Isobe-Kakinuma model for water waves},
author = {Vincent Duchêne and Tatsuo Iguchi},
journal= {arXiv preprint arXiv:1910.01026},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1803.09236