| Kuznetsov–Ma soliton and Akhmediev breather of higher-order nonlinear Schrdinger equation |
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| 引用本文： | 李再东,吴璇,李秋艳,贺鹏斌. Kuznetsov–Ma soliton and Akhmediev breather of higher-order nonlinear Schrdinger equation[J]. 中国物理 B, 2016, 25(1): 10507-010507. DOI: 10.1088/1674-1056/25/1/010507 |
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| 作者姓名： | 李再东 吴璇 李秋艳 贺鹏斌 |
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| 作者单位： | 1. Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;2. College of Physics and Microelectronics Science, Key Laboratory for Micro-Nano Physics and Technology of Hunan Province, Hunan University, Changsha 410082, China |
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| 基金项目： | Project supported by the Key Project of Scientific and Technological Research in Hebei Province, China (Grant No. ZD2015133). |
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| 摘 要： | In terms of Darboux transformation, we have exactly solved the higher-order nonlinear Schrdinger equation that describes the propagation of ultrashort optical pulses in optical fibers. We discuss the modulation instability(MI) process in detail and find that the higher-order term has no effect on the MI condition. Under different conditions, we obtain Kuznetsov–Ma soliton and Akhmediev breather solutions of higher-order nonlinear Schrdinger equation. The former describes the propagation of a bright pulse on a continuous wave background in the presence of higher-order effects and the soliton's peak position is shifted owing to the presence of a nonvanishing background, while the latter implies the modulation instability process that can be used in practice to produce a train of ultrashort optical soliton pulses.
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| 收稿时间： | 2015-05-29 |
Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation |
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| Affiliation: | 1. Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;2. College of Physics and Microelectronics Science, Key Laboratory for Micro-Nano Physics and Technology of Hunan Province, Hunan University, Changsha 410082, China |
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| Abstract: | In terms of Darboux transformation, we have exactly solved the higher-order nonlinear Schrödinger equation that describes the propagation of ultrashort optical pulses in optical fibers. We discuss the modulation instability (MI) process in detail and find that the higher-order term has no effect on the MI condition. Under different conditions, we obtain Kuznetsov-Ma soliton and Akhmediev breather solutions of higher-order nonlinear Schrödinger equation. The former describes the propagation of a bright pulse on a continuous wave background in the presence of higher-order effects and the soliton's peak position is shifted owing to the presence of a nonvanishing background, while the latter implies the modulation instability process that can be used in practice to produce a train of ultrashort optical soliton pulses. |
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| Keywords: | Kuznetsov-Ma soliton Akhmediev breather |
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