| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895540 | Journal of Geometry and Physics | 2015 | 10 Pages |
Abstract
In this paper, one-dimensional defocusing modified KDV equation: ut+uxxxâ6u2ux=0 with periodic boundary condition is considered. It is proved that the above equation admits a Cantor family of small amplitude, quasi-periodic solutions. The proof is based on an infinite dimensional KAM theorem and partial Birkhoff normal form.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yanling Shi, Junxiang Xu,