Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equaton- Fourier modes case

Michael S. Jolly, Tural Sadigov, Edriss S. Titi

We show that the global attractor of a weakly damped and driven Korteweg-de Vries equation (KdV) is embedded in the long-time dynamics of an ordinary differential equation called a…