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, $i{u}_t-{\Delta }^{2}u-2a\Delta u+|u{|}^{\alpha }u=0,x,a\in \mathbb{R}$, $\alpha >0$, and investigate…