Numerical realizations of solutions of the stochastic KdV equation

DOI10.1016/J.MATCOM.2009.06.008zbMath1177.65016OpenAlexW2054812348MaRDI QIDQ1038141

J. Blot

Publication date: 17 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.06.008

zbMATH Keywords

numerical examplessolitonKortweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (3)

Data-driven structure-preserving model reduction for stochastic Hamiltonian systems ⋮ Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise ⋮ Numerical simulation of the stochastic damped improved Boussinesq equation

Cites Work

• Unnamed Item
• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• Numerically induced phase shift in the KdV soliton
• On finite-difference methods for the Korteweg-de Vries equation
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The stochastic, damped KdV equation
• A direct approach to studying soliton perturbations

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