Against the backdrop of the rapid development of distributed energy resources and electric vehicles （EVs），the prosumer model faces challenges in energy supply-demand balance and coordinated optimization. To balance the interests of both prosumers and distribution network operators，and to utilize a sharing transaction mechanism to guide EV charging behavior and electricity pricing，research on the coordinated optimization of power-transportation-information coupled systems holds significant theoretical and practical value. To this end，this paper proposes an energy sharing transaction model and its solution method that considers EV user equilibrium behavior. First，based on non-cooperative game theory and user equilibrium theory，the travel and charging decision-making behavior of EVs under the sharing transaction mechanism is characterized，and is equivalently represented using variational inequalities. Second，a distribution network optimal power flow model based on second-order cone programming is constructed. The transaction process is described through hierarchical projection mapping，and a bi-level game-solving algorithm based on an outer-layer modified best response and an inner-layer projection mapping is designed. Numerical experiments validate the effectiveness of the proposed model and algorithm，and also demonstrate the necessity of incorporating energy sharing into the analysis of power-transportation-information coupled systems.