Christian Klein

collaborators

2 papers

math.AP2026

The 3D critical Zakharov--Kuznetsov equation: blow-up and soliton dynamics

Christian Klein, Svetlana Roudenko, Nikola Stoilov

We study the full three-dimensional dynamics of the $L^{2}$ -critical Zakharov-Kuznetsov equation with the fractional nonlinearity $∣ u ∣^{4/3} u$ , equivalently $u^{7/3}$ for real-valued…

math.AP2026

Dynamics of solutions in the 1d bi-harmonic nonlinear SchrÃ¶dinger equation

Christian Klein, Iryna Petrenko, Svetlana Roudenko +1

We consider the one dimensional 4th order, or bi-harmonic, nonlinear SchrÃ¶dinger (NLS) equation, namely, $i u_{t} - I^^{2} u - 2 a I^ u + ∣ u ∣^{I^} \pm u = 0, x, a \in R$ , $I^\pm > 0$ , and invest…