Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov
Published 2012-02-09Version 1
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.
An index theorem for the stability of periodic traveling waves of KdV type
Linear stability analysis for traveling waves of second order in time PDE's
Decay in the one dimensional generalized Improved Boussinesq equation
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