Showing math.APShow all
2 papers · 1 filter
math.AP2025
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…
math.AP2025
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…