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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 global…
math.AP2024
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 numerical…
math.AP2014★ 4 cited
A numerical approach to Blow-up issues for Davey-Stewartson II type systems
C. Klein, J. -C. Saut
We provide a numerical study of various issues pertaining to the dynamics of the Davey-Stewartson systems of the DS II type. In particular we investigate whether or not the propert…