Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks
Analysis of PDEs
2019-11-19 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We are interested in the existence of travelling waves for the Benjamin-Bona-Mahony equation on a network. First we construct an explicit wave, defined in . Then, we use this wave to derive some conditions on the coefficients appearing in the equations and on the geometry of the network to ensure the existence of travelling waves on the network.
Cite
@article{arxiv.1302.2104,
title = {Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks},
author = {Delio Mugnolo and Jean-François Rault},
journal= {arXiv preprint arXiv:1302.2104},
year = {2019}
}
Comments
18 pages, 7 figures