Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity

Nabile Boussaid, Andrew Comech

We study the point spectrum of the linearization at a solitary wave solution ${\varphi }_{\omega }(x)e^{-\mathrm{i}\omega t}$ to the nonlinear Dirac equation in ${\mathbb{R}}^n$, $n\ge 1$, with the nonline…