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arXiv · 1202.2133

Linear stability analysis for periodic traveling waves of the Boussinesq equation and the KGZ system

Sevdzhan Hakkaev·Milena Stanislavova·Atanas Stefanov
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Abstract

The question for linear stability of spatially periodic waves for the Boussinesq equation (the cases $p=2,3$) and the Klein-Gordon-Zakharov system is considered. For a wide class of solutions, we completely and explicitly characterize their linear stability (instability respectively), when the perturbations are taken with the same period $T$. In particular, our results allow us to completely recover the linear stability results, in the limit $T\to \infty$, for the whole line case.

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Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov. 2012-02-09. Linear stability analysis for periodic traveling waves of the Boussinesq equation and the KGZ system. https://arxiv.org/abs/1202.2133

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