Wave breaking for the generalized Fornberg-Whitham equation
Analysis of PDEs
2024-07-08 v1
Abstract
This paper aims to show that the Cauchy problem of the Burgers equation with a weakly dispersive perturbation involving the Bessel potential (generalization of the Fornberg-Whitham equation) can exhibit wave breaking for initial data with large slope. We also comment on the dispersive properties of the equation.
Keywords
Cite
@article{arxiv.2309.10651,
title = {Wave breaking for the generalized Fornberg-Whitham equation},
author = {Jean-Claude Saut and Shihan Sun and Yuexun Wang and Yi Zhang},
journal= {arXiv preprint arXiv:2309.10651},
year = {2024}
}