Journal
APPLIED MATHEMATICS LETTERS
Volume 86, Issue -, Pages 298-304Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.07.012
Keywords
The higher-order nonlinear; Schrodinger (HNLS) equation; Breather waves; Rogue waves
Categories
Funding
- Jiangsu Province Natural Science Foundation of China [BK20151139]
- Research and Practice of Educational Reform for Graduate students in China University of Mining and Technology [YJSJG_2018_036]
- Fundamental Research Fund for the Central Universities [2017XKQY101]
- Qinglan Engineering project of Jiangsu Universities
- National Natural Science Foundation of China [11301527]
- General Financial Grant from China Postdoctoral Science Foundation [2015M570498, 2017T100413]
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In this paper, the higher-order nonlinear Schrodinger equation, which can be widely used to describe the dynamics of the ultrashort pulses in optical fibers, is under investigation. By means of the modified Darboux transformation, the hierarchies of breather wave and rogue wave solutions are generated from the trivial solution. Furthermore, the main characteristics of the breather and rogue waves are graphically discussed. The results show that the extreme behavior of the breather wave yields the rogue wave for the higher-order nonlinear Schrodinger equation. (C) 2018 Elsevier Ltd. All rights reserved.
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