非均匀非线性波导中光脉冲的传播由(2+1)维变系数非线性薛定谔方程描述。采用相似变换方法求解了(2+1)维变系数非线性薛定谔方程的精确畸形波解，并讨论了带有外势项的非线性薛定谔方程控制的线光畸形波在波导放大器中的传播问题。给出了操控线光学畸形波解传播的控制条件，发现线光畸形波的特性，如振幅和位置等，在非线性光学介质中是可以控制的。在可控参数条件下，讨论了可控光畸形波在非线性介质中的传播行为，包括延迟激发、抑制和保持。研究结果在理论和实际应用上都具有重要意义。

Optic pulse propagation in inhomogeneous nonlinear waveguides can be described by nonlinear Schrodinger equation with (2+1) dimension variable coefficients. Similarity transformation is used to construct exact optical rogue wave solutions of (2 + 1) dimensional nonlinear Schrodinger equation with varying coefficients. Moreover，the dynamic of the first- order optical rogue waves in the optical fiber amplifier is investigated by the nonlinear Schrodinger equation with an external harmonic potential. Manipulating propagate conditions of two- dimensional optical rogue waves are given. In the suitable regulation of parameters, the properties of the optical rogue waves are found, such as amplitude and position, which are controllable in the nonlinear media. In the controllable parameters, the propagation behaviour of the controllable light waves in the nonlinear media are discussed, including delayed excitation, annihilation and maintaining. These results give edification in theory and practical application.