Dynamics of solutions in the 1d bi-harmonic nonlinear Schrödinger equation

Christian Klein, Iryna Petrenko, Svetlana Roudenko +1

We consider the one dimensional 4th order, or bi-harmonic, nonlinear Schrödinger (NLS) equation, namely, $i{u}_t-\hat{I}{”}^{2}u-2a\hat{I}”u+|u{|}^{\hat{I}}\pm u=0,x,a\in \mathbb{R}$, $\hat{I}\pm >0$, and invest…