Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides

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

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 54208-054208.doi: 10.1088/1674-1056/22/5/054208

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides

张解放^a, 金美贞^a, 何纪达^b, 楼吉辉^b, 戴朝卿^c

a Zhejiang University of Media and Communications, Hangzhou 310018, China;
b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;
c School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China

收稿日期:2012-06-26 修回日期:2012-10-08 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11072219 and 11005092).

Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides

Zhang Jie-Fang (张解放)^a, Jin Mei-Zhen (金美贞)^a, He Ji-Da (何纪达)^b, Lou Ji-Hui (楼吉辉)^b, Dai Chao-Qing (戴朝卿)^c

a Zhejiang University of Media and Communications, Hangzhou 310018, China;
b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;
c School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an 311300, China

Received:2012-06-26 Revised:2012-10-08 Online:2013-04-01 Published:2013-04-01
Contact: Zhang Jie-Fang E-mail:jfzhang2002@yahoo.com.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11072219 and 11005092).

摘要/Abstract

摘要： 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.

关键词: rogue wave, (2+1)-dimensional nonlinear Schrö, dinger equation, inhomogeneous nonlinear waveguides

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.

Key words: rogue wave, (2+1)-dimensional nonlinear Schrödinger equation, inhomogeneous nonlinear waveguides

中图分类号: (Nonlinear optics)

42.65.-k

05.45.Yv (Solitons) 42.65.Tg (Optical solitons; nonlinear guided waves)

张解放, 金美贞, 何纪达, 楼吉辉, 戴朝卿. Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides[J]. 中国物理B, 2013, 22(5): 54208-054208.

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[J]. Chin. Phys. B, 2013, 22(5): 54208-054208.

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Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides

Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides

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