Instability of the solitary waves for the 1d NLS with an attrictive delta potential in the degenerate case

Xingdong Tang, Guixiang Xu

In this paper, we show the orbital instability of the solitary waves $Q_{\Omega }{e}^{i\Omega t}$ of the 1d NLS with an attractive delta potential ($\gamma >0$) \begin{equation*} ıu_t+u_{xx}+γδu+\abs{u}…