Abstract
Vector nonlinear Schrödinger system has been used to describe the nonlinear phenomena in nature. New coexisting rogue wave and breather (cRB) solutions of the vector nonlinear Schrödinger system are attained for discussing the interaction of the rogue wave with breather. Characteristics of cRB are obtained via the new solutions and Lambert W function: it is obtained that the analytic expressions depicting the broadening and wave-height of the rogue wave; it is also attained that the analytic expression describing the distance of breather and rogue wave; it is discussed that the mechanism of breather and rogue wave transform from bright to dark.
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