IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n185654.html

Modulation Instability, Breathers, and Bound Solitons in an Erbium‐Doped Fiber System with Higher‐Order Effects

Author

Listed:
  • Rui Guo
  • Hui-Qin Hao
  • Xiao-Song Gu

Abstract

We mainly investigate the generalized nonlinear Schrödinger‐Maxwell‐Bloch system which governs the propagation of optical solitons in nonlinear erbium‐doped fibers with higher‐order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and derive the Akhmediev breathers, Ma‐breathers, bound solitons, and two‐breather solutions for this system. Considering the influences of higher‐order effects, propagation properties of those solitons are discussed.

Suggested Citation

  • Rui Guo & Hui-Qin Hao & Xiao-Song Gu, 2014. "Modulation Instability, Breathers, and Bound Solitons in an Erbium‐Doped Fiber System with Higher‐Order Effects," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:185654
    DOI: 10.1155/2014/185654
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/185654
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/185654?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Hai-Qiang Zhang & Bo Tian & Xiang-Hua Meng & Xing Lü & Wen-Jun Liu, 2009. "Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 72(2), pages 233-239, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Yu & Li, Chuanzhong & He, Jingsong, 2016. "Rogue waves in a resonant erbium-doped fiber system with higher-order effects," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 826-841.
    2. Wu, Gang-Zhou & Fang, Yin & Kudryashov, Nikolay A. & Wang, Yue-Yue & Dai, Chao-Qing, 2022. "Prediction of optical solitons using an improved physics-informed neural network method with the conservation law constraint," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Lou, Yu & Zhang, Yi, 2022. "Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 22-31.
    4. Liu, Jinshan & Dong, Huanhe & Zhang, Yong, 2024. "Wave behaviors for fractional generalized nonlinear Schrödinger equation via Riemann–Hilbert method," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    5. Yang, Jun & Fang, Miao-Shuang & Luo, Lin & Ma, Li-Yuan, 2021. "From a generalized discrete NLS equation in discrete alpha helical proteins to the fourth-order NLS equation," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    6. Li, Min & Wang, Boting & Xu, Tao & Wang, Lei, 2021. "Quantitative analysis on the bifurcations and exact travelling wave solutions of a generalized fourth-order dispersive nonlinear Schrödinger equation in Heisenberg spin chain," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:185654. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.