Self-similar rogue waves in an inhomogeneous generalized nonlinear Schrodinger equation

被引:19
作者
Loomba, Shally [1 ]
Gupta, Rama [1 ]
Kaur, Harleen [1 ]
Rajan, M. S. Mani [2 ]
机构
[1] Panjab Univ, Dept Phys, Chandigarh 160014, India
[2] Anna Univ, Dept Phys, Madurai Region 623513, Ramanathapuram, India
关键词
Rogue wave; Similarity transformation; Recurrence; Annihilation; DISPERSIVE DIELECTRIC FIBERS; SOLITON-SOLUTIONS; OPTICAL PULSES; TRANSMISSION; PROPAGATION; ROGONS;
D O I
10.1016/j.physleta.2014.05.028
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an explicit analytical form of first and second order rogue waves for distributive nonlinear Schrodinger equation (NLSE) by mapping it to standard NLSE through similarity transformation. Upon obtaining the rogue wave solutions, we study the propagation of rogue waves through a periodically distributed system for the two cases when Wronskian of dispersion and nonlinearity is (i) zero, (ii) not equal to zero. For the former case, we discuss a mechanism to control their propagation and for the latter case we depict the interesting features of rogue waves as they propagate through dispersion increasing and decreasing fiber. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:2137 / 2141
页数:5
相关论文
共 51 条
[1]  
Agrawal G. P., 2001, NONLINEAR FIBER OPTI, V3rd
[2]   Waves that appear from nowhere and disappear without a trace [J].
Akhmediev, N. ;
Ankiewicz, A. ;
Taki, M. .
PHYSICS LETTERS A, 2009, 373 (06) :675-678
[3]  
Akhmediev N., 1997, Solitons: Nonlinear Pulses and Beams
[4]   Rogue waves and rational solutions of the nonlinear Schroumldinger equation [J].
Akhmediev, Nail ;
Ankiewicz, Adrian ;
Soto-Crespo, J. M. .
PHYSICAL REVIEW E, 2009, 80 (02)
[5]   Rogue waves and rational solutions of the Hirota equation [J].
Ankiewicz, Adrian ;
Soto-Crespo, J. M. ;
Akhmediev, Nail .
PHYSICAL REVIEW E, 2010, 81 (04)
[6]  
Dai C.Q, 2012, ANN PHYS, V327, P512
[7]   Controllable behaviours of rogue wave triplets in the nonautonomous nonlinear and dispersive system [J].
Dai, Chao-Qing ;
Tian, Qing ;
Zhu, Shi-Qun .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2012, 45 (08)
[8]   Exact spatial similaritons and rogons in 2D graded-index waveguides [J].
Dai, Chaoqing ;
Zhang, Jiefang .
OPTICS LETTERS, 2010, 35 (15) :2651-2653
[9]   Harnessing and control of optical rogue waves in supercontinuum generation [J].
Dudley, John. M. ;
Genty, Goery ;
Eggleton, Benjamin J. .
OPTICS EXPRESS, 2008, 16 (06) :3644-3651
[10]   Self-similarity in ultrafast nonlinear optics [J].
Dudley, John M. ;
Finot, Christophe ;
Richardson, David J. ;
Millot, Guy .
NATURE PHYSICS, 2007, 3 (09) :597-603