Hexagonal standing wave patterns of a two-dimensional Boussinesq system
Analysis of PDEs
2018-11-15 v1
Abstract
We prove the existence of a large family of two-dimensional standing waves, that are triple periodic solutions, for a Boussinesq system which describes two-way propagation of water waves in a channel. Our proof uses the Lyapunov-Schmidt method to find the bifurcation standing waves.
Keywords
Cite
@article{arxiv.1811.05952,
title = {Hexagonal standing wave patterns of a two-dimensional Boussinesq system},
author = {Shenghao Li and Min Chen and Bing-Yu Zhang},
journal= {arXiv preprint arXiv:1811.05952},
year = {2018}
}