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math.AP2024★ 2 cited
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…
math.DS2024★ 1 cited
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…