3 papers
math.NA2026
Multi-domain spectral approach for Zakharov-Kuznetsov equations in 3D with cylindrical symmetry
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We present a novel numerical framework for studying nonlinear dispersive equations in higher-dimensional settings, specifically designed for solutions featuring traveling waves alo…
math.AP2025
Numerical study of transverse (in-)stability of solitary waves in the cubic-quintic nonlinear Schrödinger equation
Christian Klein, Christof Sparber
We study the nonlinear Schrödinger equation with a competing cubic-quintic power law nonlinearity on the waveguide domain . This model is globa…
math.AP2025
Numerical evidence for singularity formation in defocusing fractional NLS in one space dimension
Christian Klein, Christof Sparber
We consider nonlinear dispersive equations of Schrödinger-type involving fractional powers of the Laplacian and a defocusing power-law nonlinearity. We conduct numerica…