Chen, Wenxia; Deng, Xiaoyan; Zhang, Jianmei Blow up and Blow-up rate for the generalized 2-component Camassa-Holm equation. (English) Zbl 1260.35178 Int. J. Nonlinear Sci. 12, No. 3, 313-322 (2011). Summary: We investigate the local well-posedness for the generalized weakly dissipative 2-component Camassa-Holm system. We also derive a blow-up mechanism for strong solutions. In addition, we determine the exact blow-up rate of such solutions to the system. Cited in 2 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35B44 Blow-up in context of PDEs 35D35 Strong solutions to PDEs Keywords:weak dissipative; 2-component Camassa-Holm equation; local well-posedness; blow-up; blow-up rate PDFBibTeX XMLCite \textit{W. Chen} et al., Int. J. Nonlinear Sci. 12, No. 3, 313--322 (2011; Zbl 1260.35178)