Korteweg-de Vries waves in peridynamical media
Analysis of PDEs
2023-05-23 v1 Mathematical Physics
math.MP
Abstract
We consider a one-dimensional peridynamical medium and show the existence of solitary waves with small amplitudes and long wavelength. Our proof uses nonlinear Bochner integral operators and characterizes their asymptotic properties in a singular scaling limit.
Keywords
Cite
@article{arxiv.2305.13294,
title = {Korteweg-de Vries waves in peridynamical media},
author = {Michael Herrmann and Katia Kleine},
journal= {arXiv preprint arXiv:2305.13294},
year = {2023}
}
Comments
22 pages, 3 figures