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

Xiaoping Yuan

Department of Mathematics, Fudan University, Shanghai 200433, China

Abstract

It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.