RETRACTED: Blow-up and global existence for a modified two-component Camassa–Holm equation

This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy). rticle has been retracted at the request of the authors and with the concurrence of the editors. in theorem of the paper, Theorem 4.1, contains serious technical mistakes which cannot be resolved.