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arXiv:1209.3666 [math.AP]AbstractReferencesReviewsResources

Spectral stability for subsonic traveling pulses of the Boussinesq `abc' system

Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov

Published 2012-09-17Version 1

We consider the spectral stability of certain traveling wave solutions of the Boussinesq `abc' system. More precisely, we consider the explicit $sech^2(x)$ like solutions of the form $(\vp(x-w t), \psi(x- w t)=(\vp, const. \vp)$, exhibited by M. Chen (1998) and we provide a complete rigorous characterization of the spectral stability in all cases for which $a=c<0, b>0$.

Categories: math.AP
Subjects: 35B35, 35B40, 35G30
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