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Attractor for Cauchy problem of dissiptive KdV type equation. (Chinese. English summary) Zbl 0961.35141

Summary: We consider the dynamics of the Cauchy problem of KdV type equation and obtain the existence of the global attractor in \(H^2(\mathbb{R}^1)\).

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)
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