| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611665 | Journal of Differential Equations | 2012 | 28 Pages |
Abstract
In this paper, one-dimensional (1D) nonlinear wave equationutt−uxx+mu+u5=0utt−uxx+mu+u5=0 on the finite x -interval [0,π][0,π] with Dirichlet boundary conditions is considered. It is proved that there are many 2-dimensional elliptic invariant tori, and thus quasi-periodic solutions for the above equation. The proof is based on infinite-dimensional KAM theory and partial Birkhoff normal form.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Meina Gao, Jianjun Liu,