112 citations · 725 across the 43 of their papers we have counts for
57 papers
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…
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…
Semiclassical wave-packets for weakly nonlinear Schrödinger equations with rotation
Xiaoan Shen, Christof Sparber
We consider semiclassically scaled, weakly nonlinear Schrödinger equations with external confining potentials and additional angular-momentum rotation term. This type of model aris…
Nonlinear bound states with prescribed angular momentum
Irina Nenciu, Xiaoan Shen, Christof Sparber
We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions.…
Effective Dynamics of Translationally Invariant Magnetic Schrödinger Equations in the High Field Limit
Gheorghe Nenciu, Evelyn Richman, Christof Sparber
We study the large field limit in Schrödinger equations with magnetic vector potentials describing translationally invariant -fields with respect to the -axis. In a first ste…
Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction
Anudeep K. Arora, Christof Sparber
We study the cubic-quartic nonlinear Schrödinger equation (NLS) in two and three spatial dimension. This equation arises in the mean-field description of Bose-Einstein condensates…