Xu, Ying; Tian, Lixin Attractor for a coupled nonhomogeneous Camassa-Holm equation. (English) Zbl 1194.35393 Int. J. Nonlinear Sci. 9, No. 1, 118-122 (2010). Summary: In the paper, an attractor for a coupled nonhomogeneous Camassa-Holm equation with periodic boundary condition is investigated by means of Gronwall inequality, Sobolev interpolation inequality, Young inequality and uniform prior estimate with respect to \(t\). Cited in 2 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35Q35 PDEs in connection with fluid mechanics 35B41 Attractors 35B45 A priori estimates in context of PDEs 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids Keywords:coupled nonhomogeneous Camassa-Holm equation; global solution; attractor PDF BibTeX XML Cite \textit{Y. Xu} and \textit{L. Tian}, Int. J. Nonlinear Sci. 9, No. 1, 118--122 (2010; Zbl 1194.35393)