most citedLong-Timescale Soliton Dynamics in the Korteweg-de Vries Equation with Multiplicative Translation-Invariant Noise

8 citations · 8 across the 1 of their papers we have counts for

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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…