Du, Xianyun; Dai, Zhengde Attractor for Cauchy problem of dissiptive KdV type equation. (Chinese. English summary) Zbl 0961.35141 Acta Math. Sci. (Chin. Ed.) 20, No. 3, 289-295 (2000). Summary: We consider the dynamics of the Cauchy problem of KdV type equation and obtain the existence of the global attractor in \(H^2(\mathbb{R}^1)\). Cited in 1 Document MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems 35Q55 NLS equations (nonlinear Schrödinger equations) Keywords:absorbing set; Cauchy problem; KdV type equation; existence of the global attractor PDFBibTeX XMLCite \textit{X. Du} and \textit{Z. Dai}, Acta Math. Sci. (Chin. Ed.) 20, No. 3, 289--295 (2000; Zbl 0961.35141)