| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1897748 | Physica D: Nonlinear Phenomena | 2011 | 9 Pages |
Abstract
⺠We consider the Korteweg-de Vries equation with periodic boundary conditions. ⺠We prove that high frequency solutions evolve almost linearly, as if in the Airy equation. ⺠The proof is based on differentiation by parts - which is a variant of the normal form procedure. ⺠The implications for shallow water waves are also discussed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.B. ErdoÄan, N. Tzirakis, V. Zharnitsky,