Abstract
This paper is concerned with a two-component integrable Camassa-Holm type system with arbitrary smooth function \begin{document}$ H$\end{document} . If the function $H$ belongs to a set \begin{document}$ \mathcal{H}$\end{document} (defined in Section 4), then we obtain the existence and uniqueness of global strong solutions and global weak solutions to the system. Our obtained results generalize and improve considerably recent results in [ 38 , 39 ].
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