Abstract
We study a (2 + 1)-dimensional variable-coefficient-coupled partially nonlocal nonlinear Schrodinger equation with nonlinearities localized in x and y-directions and non-localized in z-direction, and set up a one-to-one connection between it and the standard nonlinear Schrodinger equation. Using this one-to-one connection, and with the help of bilinear method, we analytically derive first-order and second-order rogue wave solutions including rogue wave triplet solution, which are completely localized in three-dimensional space. By modulating the maximal value of the effective propagation distance, and comparing this maximal value with the top (peak) position of rogue wave excitation in the exponential diffraction decreasing system, we discuss the excitation manipulation of three-dimensional rogue waves, including original excitation, top excitation, tail excitation and fast complete excitation of single rogue wave and rogue wave triplet.
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