Nonrelativistic asymptotics of solitary waves in the Dirac equation with the Soler-type nonlinearity

Nabile Boussaid, Andrew Comech

We use the perturbation theory to build solitary wave solutions ${\varphi }_{\omega }(x)e^{-i\omega t}$ to the nonlinear Dirac equation in ${\mathbb{R}}^n$, $n\ge 1$, with the Soler-type nonlinear term $f(…