Spectral Stability for Subsonic Traveling Pulses of the Boussinesq "abc" System

نویسندگان

  • Sevdzhan Hakkaev
  • Milena Stanislavova
  • Atanas Stefanov
چکیده

We consider the spectral stability of certain traveling wave solutions for the Boussinesq ‘abc’ system. More precisely, we consider the explicit sech(x) like solutions of the form (φ(x − wt), ψ(x − wt) = (φ, const.φ), exhibited by M. Chen, [7], [8] and we provide a complete rigorous characterization of the spectral stability in all cases for which a = c < 0, b > 0.

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عنوان ژورنال:
  • SIAM J. Applied Dynamical Systems

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2013