Asymptotic Stability of multi-solitons for $1$d Supercritical NLS

Gong Chen, Abdon Moutinho

We consider the one-dimensional $L^2$-supercritical nonlinear Schrödinger equation \[ i\partial_t ψ+ \partial_x^2 ψ+ |ψ|^{2k}ψ= 0, \qquad k>2. \] In this regime solitary waves are…