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arXiv · 1303.5941

An analytical proof for the stability of Heimburg-Jackson pulses

Heinrich Freistühler·Johannes Höwing
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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.

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Heinrich Freistühler, Johannes Höwing. 2013-03-24. An analytical proof for the stability of Heimburg-Jackson pulses. https://arxiv.org/abs/1303.5941

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