Dissertation
Stochastic Amplitude Modulation of Nonlinear Dispersive Waves
This dissertation investigates the propagation of solitary waves in the presence of random disturbances.
- Author
- R.W.S. Westdorp
- Date
- 02 April 2026
- Links
- Thesis in Leiden Repository
We focus on paradigm models from nonlinear dispersive wave theory: the Korteweg–de Vries equation and the Fermi–Pasta–Ulam–Tsingou system. In both cases, random disturbances influence the wave amplitude. We develop a framework to track the evolution of the wave amplitude, yielding explicit predictions for its behavior, which we validate through numerical simulations. These results are supported by a rigorous analysis of wave stability.