An analytical proof for the stability of Heimburg-Jackson pulses
Analysis of PDEs
2013-03-26 v1
Abstract
This paper studies analytically the stability of solitary waves in a generalized Boussinesq equation with quadratic-cubic nonlinearity. For general values of two parameters a and b determining the system, unstable waves may occur. If however, as in a situation for which this Boussinesq equation was recently proposed as a model for pulse propagation in nerves, (a,b) belongs to a certain natural regime, then all possible waves are stable.
Keywords
Cite
@article{arxiv.1303.5941,
title = {An analytical proof for the stability of Heimburg-Jackson pulses},
author = {Heinrich Freistühler and Johannes Höwing},
journal= {arXiv preprint arXiv:1303.5941},
year = {2013}
}
Comments
8 pages, 2 figures