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math.AP2025
Nonlinear Schrödinger equation on a unit ball in one and two dimensions
Christian Klein, Svetlana Roudenko, Nikola Stoilov
We investigate the nonlinear Schrödinger equation on a unit ball in one and two dimensions with Dirichlet boundary condition, focusing on ground states, their limiting behavior, st…
math.AP2025
A numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation
Meriem Bahhi, Jonas Lampart, Christian Klein +1
We discuss the (in)stability of solitary waves for a quasi-linear Schr{ö}dinger equation. The equation contains a quasi-linear term, responsible for a saturation effect, as well as…