International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 18, Pages 1111-1136
doi:10.1155/S0161171203207092
Invariant manifold of hyperbolic-elliptic type for nonlinear wave
equation
Department of Mathematics, Fudan University, Shanghai 200433, China
Received 9 July 2002
Copyright © 2003 Xiaoping Yuan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
It is shown that there are plenty of hyperbolic-elliptic
invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.