Rogue wave solutions of the nonlinear Schrodinger equation with variable coefficients

被引:9
作者
Liu, Changfu [1 ]
Li, Yan Yan [1 ]
Gao, Meiping [1 ]
Wang, Zeping [1 ]
Dai, Zhengde [2 ]
Wang, Chuanjian [3 ]
机构
[1] Wenshan Univ, Sch Math, Wenshan 663000, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China
[3] Kunming Univ Sci & Technol, Sch Sci, Kunming 650031, Peoples R China
来源
PRAMANA-JOURNAL OF PHYSICS | 2015年 / 85卷 / 06期
关键词
Nonlinear Schrodinger equation; exp-function method; breather soliton; rogue wave;
D O I
10.1007/s12043-015-0954-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, a unified formula of a series of rogue wave solutions for the standard (1+1)-dimensional nonlinear Schrodinger equation is obtained through exp-function method. Further, by means of an appropriate transformation and previously obtained solutions, rogue wave solutions of the variable coefficient Schrodinger equation are also obtained. Two free functions of time t and several arbitrary parameters are involved to generate a large number of wave structures.
引用
收藏
页码:1063 / 1072
页数:10
相关论文
共 37 条
[1]   Extreme waves that appear from nowhere: On the nature of rogue waves [J].
Akhmediev, N. ;
Soto-Crespo, J. M. ;
Ankiewicz, A. .
PHYSICS LETTERS A, 2009, 373 (25) :2137-2145
[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]   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)
[4]   Extended nonlinear Schrodinger equation with higher-order odd and even terms and its rogue wave solutions [J].
Ankiewicz, Adrian ;
Wang, Yan ;
Wabnitz, Stefan ;
Akhmediev, Nail .
PHYSICAL REVIEW E, 2014, 89 (01)
[5]   Matter rogue waves [J].
Bludov, Yu. V. ;
Konotop, V. V. ;
Akhmediev, N. .
PHYSICAL REVIEW A, 2009, 80 (03)
[6]   Deterministic Optical Rogue Waves [J].
Bonatto, Cristian ;
Feyereisen, Michael ;
Barland, Stephane ;
Giudici, Massimo ;
Masoller, Cristina ;
Rios Leite, Jose R. ;
Tredicce, Jorge R. .
PHYSICAL REVIEW LETTERS, 2011, 107 (05)
[7]   Rogue Wave Observation in a Water Wave Tank [J].
Chabchoub, A. ;
Hoffmann, N. P. ;
Akhmediev, N. .
PHYSICAL REVIEW LETTERS, 2011, 106 (20)
[8]   Time-Reversal Generation of Rogue Waves [J].
Chabchoub, Amin ;
Fink, Mathias .
PHYSICAL REVIEW LETTERS, 2014, 112 (12)
[9]   Rogue waves in superfluid helium [J].
Efimov, V. B. ;
Ganshin, A. N. ;
Kolmakov, G. V. ;
McClintock, P. V. E. ;
Mezhov-Deglin, L. P. .
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 185 (01) :181-193
[10]   Rogue waves in oceanic turbulence [J].
Fedele, Francesco .
PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (14-17) :2127-2131