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In this paper, we study the Cauchy problem of the isentropic compressiblemagnetohydrodynamic equations in $\mathbb{R}^{3}$. When$(\gamma-1)^{\frac{1}{6}}E_{0}^{\frac{1}{2}}$, together with the$\|H_{0}\|_{L^{2}}$, is suitably small, a result on the existence of globalclassical solutions is obtained. It should be pointed out that the initialenergy $E_{0}$ except the $L^{2}$- norm of $H_{0}$ can be large as $\gamma$goes to 1, and that throughout the proof of the theorem in the present paper,we make no restriction upon the initial data $(\rho_{0},u_{0})$. Our resultimproves the one established by Li-Xu-Zhang in \cite{H.L. L}, where, with smallinitial engergy, the existence of classical solution was proved.

Global classical solution to 3D compressible magnetohydrodynamic equations with large initial data and vacuum