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math.AP2012★ 16 cited
A Hamiltonian-Krein (instability) index theory for KdV-like eigenvalue problems
Todd Kapitula, Atanas Stefanov
The Hamiltonian-Krein (instability) index is concerned with determining the number of eigenvalues with positive real part for the Hamiltonian eigenvalue problem , where…
math.AP2012
Spectral stability for subsonic traveling pulses of the Boussinesq `abc' system
Sevdzhan Hakkaev, Milena Stanislavova, Atanas Stefanov
We consider the spectral stability of certain traveling wave solutions of the Boussinesq `abc' system. More precisely, we consider the explicit like solutions of the fo…