IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v165y2022ip2s0960077922010463.html
   My bibliography  Save this article

The bound states of pure-quartic solitons

Author

Listed:
  • Dai, Jiaxin
  • Zeng, Jiali
  • Hu, Wei
  • Lu, Daquan

Abstract

In this paper, we quantitatively study the equilibrium bound state and the oscillating bound state of pure-quartic solitons (PQSs). Based on the Lagrangian of the system, we obtain the analytic expression of the effective interaction potential, which makes it convenient to predict the critical separation between the interacting PQSs in the equilibrium bound state. Furthermore, we study the oscillation period of PQSs in the oscillating bound state by making an analogy between the evolution of PQS pair and the motion of the Newtonian particle in a potential well. The effective mass and the effective force are derived, and thereby the semianalytic expression of the oscillation period is obtained. The results are useful for gaining a physical insight into the evolution of the interacting PQSs in the two types of bound states.

Suggested Citation

  • Dai, Jiaxin & Zeng, Jiali & Hu, Wei & Lu, Daquan, 2022. "The bound states of pure-quartic solitons," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010463
    DOI: 10.1016/j.chaos.2022.112867
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922010463
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112867?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Andrea Blanco-Redondo & C. Martijn de Sterke & J.E. Sipe & Thomas F. Krauss & Benjamin J. Eggleton & Chad Husko, 2016. "Pure-quartic solitons," Nature Communications, Nature, vol. 7(1), pages 1-9, April.
    2. Z. Q. Wang & K. Nithyanandan & A. Coillet & P. Tchofo-Dinda & Ph. Grelu, 2019. "Optical soliton molecular complexes in a passively mode-locked fibre laser," Nature Communications, Nature, vol. 10(1), pages 1-11, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Xunbo & Zou, Defeng & Liu, Runmin & Lv, Jinqian & Hu, Minglie & Shum, Perry Ping & Song, Youjian, 2024. "From breather solitons to chaos in an ultrafast laser: The scenario of cascading short and long-period pulsations," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    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. Zhu, Zhiwei & Yang, Song & He, Chaojian & Lin, Xuechun, 2023. "Vector pure-quartic soliton molecule fiber laser," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Dong Mao & Huaqiang Wang & Heze Zhang & Chao Zeng & Yueqing Du & Zhiwen He & Zhipei Sun & Jianlin Zhao, 2021. "Synchronized multi-wavelength soliton fiber laser via intracavity group delay modulation," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    3. Yan, Dan & Li, Xingliang & Han, Mengmeng & Zhang, Shumin, 2024. "Partially “invisible” pulsation of asymmetric soliton molecules," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    4. Ze-Xian Zhang & Min Luo & Jia-Hao Liu & Yi-Tao Yang & Ti-Jian Li & Meng Liu & Ai-Ping Luo & Wen-Cheng Xu & Zhi-Chao Luo, 2024. "Coherence-controlled chaotic soliton bunch," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    5. Soltani, Mourad & Triki, Houria & Azzouzi, Faiçal & Sun, Yunzhou & Biswas, Anjan & Yıldırım, Yakup & Alshehri, Hashim M. & Zhou, Qin, 2023. "Pure–quartic optical solitons and modulational instability analysis with cubic–quintic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    6. Yuankai Guo & Wei Lin & Wenlong Wang & Runsen Zhang & Tao Liu & Yiqing Xu & Xiaoming Wei & Zhongmin Yang, 2023. "Unveiling the complexity of spatiotemporal soliton molecules in real time," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    7. Łukasz A. Sterczewski & Jarosław Sotor, 2023. "Two-photon imaging of soliton dynamics," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    8. Li, Li & Yu, Fajun, 2024. "The fourth-order dispersion effect on the soliton waves and soliton stabilities for the cubic-quintic Gross–Pitaevskii equation," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    9. Li, Jiawei & Zhang, Yanpeng & Zeng, Jianhua, 2022. "Dark gap solitons in one-dimensional nonlinear periodic media with fourth-order dispersion," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    10. Yang, Song & Zhu, Zhiwei & Qi, Yaoyao & Jin, Lei & Li, Li & Lin, Xuechun, 2023. "Internal motion within pulsating pure-quartic soliton molecules in a fiber laser," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

    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:eee:chsofr:v:165:y:2022:i:p2:s0960077922010463. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.