Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials

Via the link between phi(p) of a (3+1)-dimensional variable-coefficient coupled partially nonlocal nonlinear Schrodinger system (NLSS) and Phi of constant-coefficient NLSS, considering the ring approximation and by means of the Darboux approach, we derive vector ring-like combined Akhmediev breathers(AB), including ring-like combined AB-doublet and ring-like combined AB with giant wave. From this breather solution, we find that physical quantities such as amplitude, width, center and phase are strongly affected by parameters of diffraction, linear potential and phase chirp. Moreover, we study the influence of parameters for radius and thickness on the form of vector ring-like combined AB.