8 citations · 8 across the 2 of their papers we have counts for
2 papers
math.AP2023★ 8 cited
Long-Timescale Soliton Dynamics in the Korteweg-de Vries Equation with Multiplicative Translation-Invariant Noise
Rik W. S. Westdorp, Hermen Jan Hupkes
This paper studies the behavior of solitons in the Korteweg-de Vries equation under the influence of multiplicative noise. We introduce stochastic processes that track the amplitud…
math.DS2019
Travelling Corners for Spatially Discrete Reaction-Diffusion System
Hermen Jan Hupkes, Leonardo Morelli
We consider reaction-diffusion equations on the planar square lattice that admit spectrally stable planar travelling wave solutions. We show that these solutions can be continued i…