This paper explores the propagation characteristics of Airyprime beams in an inhomogeneous medium with periodic potential, from both theoretical and numerical simulation perspectives. By using the method of separation of variables, the Gross-Pitaevskii equation with periodic potential was solved to obtain the breather soliton solution and breathing period. Additionally, considering the medium and beam parameters, numerical simulations were performed to study the propagation characteristics of Airyprime beams and the superposition between two Airyprime beams. First, the influence of initial med...
