September  2006, 16(3): 615-634. doi: 10.3934/dcds.2006.16.615

Quasi-periodic solutions of nonlinear wave equations with a prescribed potential

1. 

School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Received  November 2005 Revised  July 2006 Published  August 2006

It is proved that for a prescribed potential $V$ there are many quasi-periodic solutions of nonlinear wave equations $u_{t t}-u_{x x}+V(x)u\pm u^3+O(|u|^5)=0$ subject to Dirichlet boundary conditions.
Citation: Xiaoping Yuan. Quasi-periodic solutions of nonlinear wave equations with a prescribed potential. Discrete & Continuous Dynamical Systems - A, 2006, 16 (3) : 615-634. doi: 10.3934/dcds.2006.16.615
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