Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities

Noriyoshi Fukaya, Masayuki Hayashi

We consider a nonlinear Schrödinger equation with double power nonlinearity \begin{align*} i\partial_t u+Δu-|u|^{p-1}u+|u|^{q-1}u=0,\quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end…