24 citations · 72 across the 28 of their papers we have counts for
5 papers · 1 filter
Small-amplitude periodic traveling waves in dimer Fermi-Pasta-Ulam-Tsingou lattices
Timothy E. Faver, Hermen Jan Hupkes, J. Douglas Wright
We prove the existence of small-amplitude periodic traveling waves in dimer Fermi-Pasta-Ulam-Tsingou (FPUT) lattices without assumptions of physical symmetry. Such lattices are inf…
Existence of monostable fronts for a KPP infinite-difference numerical scheme
Louis Garénaux, Hermen Jan Hupkes
We study the existence of traveling wave solutions for a numerical counterpart of the KPP equation. We obtain the existence of monostable fronts for all super-critical speeds in th…
Multidimensional Stability of Planar Travelling Waves for Stochastically Perturbed Reaction-Diffusion Systems
Mark van den Bosch, Hermen Jan Hupkes
We consider reaction-diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, coloured in space, and invarian…
Soliton Amplification in the Korteweg-de Vries Equation by Multiplicative Forcing
Rik W. S. Westdorp, Hermen Jan Hupkes
We study the stability and dynamics of solitons in the Korteweg-de Vries (KdV) equation with small multiplicative forcing. Forcing breaks the conservative structure of the KdV equa…
Propagation reversal on trees in the large diffusion regime
Hermen Jan Hupkes, Mia Jukic
In this work we study travelling wave solutions to bistable reaction diffusion equations on bi-infinite -ary trees in the continuum regime where the diffusion parameter is large…