Numerical simulations of the stochastic KDV equation
- UNCW Author/Contributor (non-UNCW co-authors, if there are any, appear on document)
- Andrew Rose (Creator)
- Institution
- The University of North Carolina Wilmington (UNCW )
- Web Site: http://library.uncw.edu/
- Advisor
- Russell Herman
Abstract: We study the Korteweg-de Vries (KdV) equation with external noise and compare our numerical simulations to known theoretical results. By using a modification of the Zabusky-Kruskal
finite difference scheme, we are able to generate numerical solutions to the stochastic KdV.
We look at the large time behavior of the stochastic KdV and verify the diffusion of solitons. We find that the predicted large time behavior of the perturbed solution is not easily
confirmed in the simulations as the initial soliton diffuses and is lost amidst the background
noise long before the asymptotic limit is reached.
Numerical simulations of the stochastic KDV equation
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Created on 1/1/2009
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Additional Information
- Publication
- Thesis
- A Thesis Submitted to the University of North Carolina at Wilmington in Partial Fulfillment of the Requirement for the Degree of Masters of Science
- Language: English
- Date: 2009
- Keywords
- Boundary value problems, Korteweg-de Vries equation, Perturbation (Mathematics)
- Subjects
- Boundary value problems
- Perturbation (Mathematics)
- Korteweg-de Vries equation