2 citations · 3 across the 5 of their papers we have counts for
5 papers
Radiating Solitary Waves in an FPUT Lattice with Random Coefficients
Hermen Jan Hupkes, Joshua A. McGinnis, Rik W. S. Westdorp +1
We study the propagation of solitary waves in a Fermi-Pasta-Ulam-Tsingou (FPUT) lattice with small random heterogeneity in the linear spring force. Perturbed by the random environm…
Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation
Rik W. S. Westdorp, Hermen Jan Hupkes
We study the stability and dynamics of solitons in the Korteweg-de Vries (KdV) equation in the presence of noise and deterministic forcing. The noise is space-dependent and statist…
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…
Solitary waves in a stochastic parametrically forced nonlinear Schrödinger equation
Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden
We study a parametrically forced nonlinear Schrödinger (PFNLS) equation, driven by multiplicative translation-invariant noise. We show that a solitary wave in the stochastic equati…
Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise
Manuel V. Gnann, Rik W. S. Westdorp, Joris van Winden
We prove well-posedness in for any of a parametrically forced nonlinear Schrödinger equation (PFNLS) in one dimension driven by multiplicative S…