The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrodinger equation

被引：114

作者：

Dai, Chao-Qing ^{[1
,2
]}

Wang, Yue-Yue ^{[1
]}

Tian, Qing ^{[2
]}

Zhang, Jie-Fang ^{[2
,3
]}

机构：

[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China

[2] Suzhou Univ, Sch Phys Sci & Technol, Suzhou 215006, Jiangsu, Peoples R China

[3] Zhejiang Univ Media & Commun, Hangzhou 310018, Zhejiang, Peoples R China

来源：

ANNALS OF PHYSICS | 2012年 / 327卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger equation; Rogue wave; Management and containment; MODULATION INSTABILITY; SOLITON; FIBER;

D O I：

10.1016/j.aop.2011.11.016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present, analytically, self-similar rogue wave solutions (rational solutions) of the inhomogeneous nonlinear Schrodinger equation (NLSE) via a similarity transformation connected with the standard NLSE. Then we discuss the propagation behaviors of controllable rogue waves under dispersion and nonlinearity management. In an exponentially dispersion-decreasing fiber, the postponement, annihilation and sustainment of self-similar rogue waves are modulated by the exponential parameter a. Finally, we investigate the nonlinear tunneling effect for self-similar rogue waves. Results show that rogue waves can tunnel through the nonlinear barrier or well with increasing, unchanged or decreasing amplitudes via the modulation of the ratio of the amplitudes of rogue waves to the barrier or well height. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：512 / 521

页数：10

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