To the website of the group of PhD students at the Weierstrass-Institute for Applied Analysis and Stochastics!
|10.10.2022||Fenja Severing |
Instabilities in the context of the generalized Nonlinear Schrödinger Equation
Nonlinear waves can be observed in various fields, like water waves or optical waves.They can experience modulation instability as described by the Nonlinear Schrödinger Equation (NLSE). Solved numerically by the Split-Step Method (SSM), not only physical instabilities occur but also unwanted numerical ones. Here, we study how to avoid numerical instabilities for the generalized NLS.