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

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.

preprint2012arXivOpen access
Sevdzhan HakkaevMilena StanislavovaAtanas Stefanov
math.AP
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Sevdzhan HakkaevMilena StanislavovaAtanas Stefanov

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