Numerical realizations of solutions of the stochastic KdV equation

Authors:
Russell L. Herman;Andrew Rose
Affiliations:
Department of Mathematics & Statistics, University of North Carolina Wilmington, Wilmington, NC, 28401, USA and Department of Physics and Physical Oceanography, University of North Carolina Wilmin ...;Department of Mathematics & Statistics, University of North Carolina Wilmington, Wilmington, NC, 28401, USA
Venue:
Mathematics and Computers in Simulation
Year:
2009

Citing 2
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Numerically induced phase shift in the KdV soliton

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An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

SIAM Review

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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.