Article ID Journal Published Year Pages File Type
1139974 Mathematics and Computers in Simulation 2009 9 Pages PDF
Abstract

We investigate simulations of exact solutions of the stochastic Korteweg–deVries equation under additive noise. We compare the expectation values of the exact solutions to theoretical expectation values and to the numerical simulations of the stochastic Korteweg–deVries equation with and without damping. We find on average the diffused soliton vanishes long before the typically reported asymptotic limit.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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