%A Zhang Jie-Fang (张解放), Jin Mei-Zhen (金美贞), He Ji-Da (何纪达), Lou Ji-Hui (楼吉辉), Dai Chao-Qing (戴朝卿) %T Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides %0 Journal Article %D 2013 %J Chin. Phys. B %R 10.1088/1674-1056/22/5/054208 %P 54208-054208 %V 22 %N 5 %U {https://cpb.iphy.ac.cn/CN/abstract/article_114822.shtml} %8 2013-04-01 %X We propose a unified theory to construct exact rogue wave solutions of the (2+1)-dimensional nonlinear Schrödinger equation with varying coefficients. And then the dynamics of the first- and the second-order optical rogues are investigated. Finally, the controllability of the optical rogue propagating in inhomogeneous nonlinear waveguides is discussed. By properly choosing the distributed coefficients, we demonstrate analytically that rogue waves can be restrained or even be annihilated, or emerge periodically and sustain forever. We also figure out the center-of-mass motion of the rogue waves.