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We investigate the phase transitions of holographic p-wave superconductors in(4+1)-dimensional Einstein-Yang-Mills-Gauss-Bonnet theories, in a grandcanonical ensemble. Turning on the back-reaction of the Yang-Mills field, it isfound that the condensations of vector order parameter become harder if theGauss-Bonnet coefficient grows up or the back-reaction becomes stronger. Inparticular, the vector order parameter exhibits the features of first order andsecond order phase transitions, while only the second order phase transition isobserved in the probe limit. We discuss the roles that the Gauss-Bonnet termand the back-reaction play in changing the order of phase transition.

Holographic Phase Transitions of P-wave Superconductors in Gauss-Bonnet Gravity with Back-reaction