Ding, Danping; Tian, Lixin The attractor of the dissipative Camassa-Holm equation. (Chinese. English summary) Zbl 1080.35007 Acta Math. Appl. Sin. 27, No. 3, 536-545 (2004). Summary: This paper investigates the dynamical behaviors of a new dispersive shallow water wave equation – Camassa-Holm (C-H) equation, studies the existence of global solution of the dissipative C-H equation and gets the existence of the global attractor of the semigroup of the dissipative C-H equation in \(H^2\). Cited in 12 Documents MSC: 35B41 Attractors 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:dispersive shallow water wave equation PDFBibTeX XMLCite \textit{D. Ding} and \textit{L. Tian}, Acta Math. Appl. Sin. 27, No. 3, 536--545 (2004; Zbl 1080.35007)