A Centre-Stable Manifold for the Focussing Cubic NLS in $R^{1+3}$

Marius Beceanu

Consider the focussing cubic nonlinear Schrödinger equation in $R^3$: $$i{\psi }_t+\Delta \psi =-|\psi {|}^2\psi .$$ It admits special solutions of the form $e^{it\alpha }\varphi$, where $\varphi$ is a Schwartz function…