Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides

doi:10.1088/1674-1056/22/5/054208

Abstract 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.

Keywords: rogue wave (2+1)-dimensional nonlinear Schrödinger equation inhomogeneous nonlinear waveguides

Received: 26 June 2012
Revised: 08 October 2012
Accepted manuscript online:

PACS:	42.65.-k	(Nonlinear optics)
	05.45.Yv	(Solitons)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11072219 and 11005092).

Corresponding Authors: Zhang Jie-Fang
E-mail: jfzhang2002@yahoo.com.cn

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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) Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides 2013 Chin. Phys. B 22 054208

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