Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899911 | Physica D: Nonlinear Phenomena | 2007 | 15 Pages |
Abstract
This paper studies the eventual periodicity of solutions to the initial and boundary value problem for the KdV equation on a half-line and with periodic boundary data. We derive a representation formula for solutions to the linearized KdV equation and rigorously establish the eventual periodicity of these solutions. Numerical experiments performed on the full KdV equation indicate that its solutions are also eventually periodic.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jie Shen, Jiahong Wu, Juan-Ming Yuan,