Math. Model. Nat. Phenom.
Volume 16, 2021
|Number of page(s)||17|
|Published online||17 September 2021|
Invariant measure of stochastic higher order KdV equation driven by Poisson processes*
College of Liberal Arts and Science, National University of Defense Technology,
410073, PR China.
2 College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, PR China.
** Corresponding author: email@example.com
Accepted: 13 July 2021
The current paper is devoted to stochastic damped higher order KdV equation driven by Poisson process. We establish the well-posedness of stochastic damped higher-order KdV equation, and prove that there exists an unique invariant measure for non-random initial conditions. Some discussion on the general pure jump noise case are also provided. Some numerical simulations of the invariant measure are provided to support the theoretical results.
Mathematics Subject Classification: 60H15 / 37L55
Key words: Invariant measure / damped KdV equation / pure jump noises
© The authors. Published by EDP Sciences, 2021
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