On the KdV approximation for a Boussinesq equation posed on the infinite necklace graph
Analysis of PDEs
2023-11-10 v1
Abstract
We consider a Boussinesq equation posed on the infinite periodic necklace graph. For the description of long wave traveling waves we derive the KdV equation and establish the validity of this formal approximation by providing estimates for the error. The proof is based on suitable energy estimates.
Keywords
Cite
@article{arxiv.2311.05489,
title = {On the KdV approximation for a Boussinesq equation posed on the infinite necklace graph},
author = {Wolf-Patrick Düll and Guido Schneider and Raphael Taraca},
journal= {arXiv preprint arXiv:2311.05489},
year = {2023}
}