RATIONAL SOLUTIONS AND ROGUE WAVES IN NONLINEAR SCHRODINGER EQUATION WITH VARYING COEFFICIENTS

被引:0
|
作者
Song, Ni [1 ]
Zhang, Wei [1 ]
Zhou, Sha [1 ]
Wang, Qian [1 ]
机构
[1] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
关键词
SOLITONS; FIBERS;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The similarity transformation and direct ansatz are applied to obtain rogue wave solutions of nonlinear Schrodinger equation with varying coefficients. These obtained solutions can be used to describe the possible formation mechanisms for optical rogue wave phenomenon in optical fibres. Moreover their dynamical behaviors are exhibited for chosen different functions. This will further excite the possibility of relative researchers and potential applications of rogue waves in other related fields.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Rogue waves and rational solutions of the nonlinear Schroumldinger equation
    Akhmediev, Nail
    Ankiewicz, Adrian
    Soto-Crespo, J. M.
    [J]. PHYSICAL REVIEW E, 2009, 80 (02):
  • [2] Rogue wave solutions of the nonlinear Schrodinger equation with variable coefficients
    Liu, Changfu
    Li, Yan Yan
    Gao, Meiping
    Wang, Zeping
    Dai, Zhengde
    Wang, Chuanjian
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2015, 85 (06): : 1063 - 1072
  • [3] Rogue waves in multiphase solutions of the focusing nonlinear Schrodinger equation
    Bertola, Marco
    El, Gennady A.
    Tovbis, Alexander
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2194):
  • [4] Rogue wave solutions to the generalized nonlinear Schrodinger equation with variable coefficients
    Zhong, Wei-Ping
    Belic, Milivoj R.
    Huang, Tingwen
    [J]. PHYSICAL REVIEW E, 2013, 87 (06):
  • [5] Rogue wave solutions of the chiral nonlinear Schrodinger equation with modulated coefficients
    Mouassom, L. Fernand
    Mvogo, Alain
    Mbane, C. Biouele
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2019, 94 (01):
  • [6] Multi-rogue waves and rational solutions of the coupled nonlinear Schrodinger equations
    Zhai, Bao-Guo
    Zhang, Wei-Guo
    Wang, Xiao-Li
    Zhang, Hai-Qiang
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 14 - 27
  • [7] Rogue Wave Solutions for Nonlinear Schrodinger Equation with Variable Coefficients in Nonlinear Optical Systems
    Chen Qi
    Zhang Wei-Guo
    Zhang Hai-Qiang
    Yang Bo
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 62 (03) : 373 - 382
  • [8] New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrodinger equation with variable coefficients
    Yu, Fajun
    Yan, Zhenya
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 233 : 351 - 358
  • [9] Solitons, rogue waves and breather solutions for the (2+1)-dimensional nonlinear Schrodinger equation with variable coefficients
    Hamed, A. A.
    Kader, A. H. Abdel
    Latif, M. S. Abdel
    [J]. OPTIK, 2020, 216
  • [10] Rogue waves and rational solutions of the Hirota equation
    Ankiewicz, Adrian
    Soto-Crespo, J. M.
    Akhmediev, Nail
    [J]. PHYSICAL REVIEW E, 2010, 81 (04):