Numerical realizations of solutions of the stochastic KdV equation

Russell L. Herman and Andrew Rose

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 1, 164-172

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.

Keywords: Kortweg–deVries; Stochastic; Numerical (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:164-172

DOI: 10.1016/j.matcom.2009.06.008

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