IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v199y2025ip2s0960077925006472.html

Partially nonlocal three-wave control of a nonlinear Schrödinger system: Dark-bright-dark rogue waves and their pair structures

Author

Listed:
  • Chen, Li
  • Shi, Su-Guang

Abstract

The partially nonlocal multi-component nonlinear Schrödinger system is significant for modeling partially nonlocal nonlinear responses in multi-division multiplexing optical systems. This study addresses the limited research on three-component systems with distinct rogue wave configurations. We investigate a variable-coefficient 2D partially nonlocal three-component coupled nonlinear Schrödinger system with a linear potential, which we reduce to a constant-coefficient equation to facilitate analytical solutions. Using the Darboux transformation, we derive partially nonlocal dark-bright-dark rogue waves and their paired solutions. We further analyze their excitation regimes–complete, delaying, peak-sustaining, and inhibiting–by comparing the maximal accumulated time with their excited location values. These results enhance our understanding of ultrashort wave phenomena in physics and engineering.

Suggested Citation

  • Chen, Li & Shi, Su-Guang, 2025. "Partially nonlocal three-wave control of a nonlinear Schrödinger system: Dark-bright-dark rogue waves and their pair structures," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p2:s0960077925006472
    DOI: 10.1016/j.chaos.2025.116634
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925006472
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116634?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Wu, Hong-Yu & Jiang, Li-Hong, 2024. "3D partially nonlocal ring-like Kuznetsov-Ma and Akhmediev breathers of NLS model with different diffractions under a linear potential," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Chen, Liang-Yuan & Wu, Hong-Yu & Jiang, Li-Hong, 2024. "Partially nonlocal ring-like spatiotemporal superimposed second-order breathers under a harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
    4. Chen, Yi-Xiang, 2023. "Vector peregrine composites on the periodic background in spin–orbit coupled Spin-1 Bose–Einstein condensates," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Chen, Yi-Xiang, 2024. "(3+1)-dimensional partially nonlocal ring-like bright-dark monster waves," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    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. Chen, Liang-Yuan & Wu, Hong-Yu, 2025. "Dark-bright-dark rogue wave triplets within a partially nonlocal three-component nonlinear Schrödinger framework," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    2. Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Yang, Jing & Chen, Zezhou & Zhu, Yu & Qin, Wei & Li, Jitao, 2025. "Hierarchy of three-component dark–bright–dark annular rogue waves," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    4. Li, Liu-Qing & Gao, Yi-Tian & Yu, Xin & Ding, Cui-Cui & Wang, Dong, 2022. "Bilinear form and nonlinear waves of a (1+1)-dimensional generalized Boussinesq equation for the gravity waves over water surface," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 494-508.
    5. Li, Li & Yu, Fajun, 2025. "Some mixed soliton wave interaction patterns and stabilities for Rabi-coupled nonlocal Gross–Pitaevskii equations," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    6. 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.
    7. Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    8. Liu, Xue-Ke & Wang, Zhen & Du, Ruo-Chen & Wen, Xiao-Yong, 2025. "Rogue wave dynamics and energy spectra for the generalized Heisenberg spin chain equation," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    9. Jiang, Jun-Hang & Si, Zhi-Zeng & Dai, Chao-Qing & Wu, Bin, 2024. "Prediction of multipole vector solitons and model parameters for coupled saturable nonlinear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    10. Xi-zhong Liu & Zhi-Mei Lou & Xian-Min Qian & Lamine Thiam, 2019. "A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation," Complexity, Hindawi, vol. 2019, pages 1-12, October.
    11. Sang, Xue & Dong, Huanhe & Fang, Yong & Liu, Mingshuo & Kong, Yuan, 2024. "Soliton, breather and rogue wave solutions of the nonlinear Schrödinger equation via Darboux transformation on a time–space scale," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    12. Xu, Tong-Zhen & Liu, Jin-Hao & Wang, Yue-Yue & Dai, Chao-Qing, 2024. "Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    13. Li, Lingfei & Yan, Yongsheng & Xie, Yingying, 2022. "Rational solutions with non-zero offset parameters for an extended (3 + 1)-dimensional BKP-Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    14. Alexandra Völkel & Luca Nimmesgern & Adam Mielnik-Pyszczorski & Timo Wirth & Georg Herink, 2022. "Intracavity Raman scattering couples soliton molecules with terahertz phonons," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    15. Wang, Tingyou & Qin, Zhenyun & Mu, Gui & Zheng, Fuzhuang & Qiao, Zhijun, 2025. "Rogue wave patterns associated with Adler–Moser polynomials in the nonlocal nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    16. Zhao, Yi-Di & Wang, Yu-Feng & Yang, Sheng-Xiong & Zhang, Xi & Chen, Yi-Xin, 2024. "Soliton, breather and rogue wave solutions of the higher-order modified Gerdjikov–Ivanov equation," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    17. Chen, Yi-Xiang, 2024. "(3+1)-dimensional partially nonlocal ring-like bright-dark monster waves," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    18. Zhang, Yi & Sun, YanBo & Xiang, Wen, 2015. "The rogue waves of the KP equation with self-consistent sources," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 204-213.
    19. Wei, Peng-Fei & Long, Chun-Xiao & Zhu, Chen & Zhou, Yi-Ting & Yu, Hui-Zhen & Ren, Bo, 2022. "Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    20. Yue-jun Deng & Rui-yu Jia & Ji Lin, 2019. "Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System," Complexity, Hindawi, vol. 2019, pages 1-9, November.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:eee:chsofr:v:199:y:2025:i:p2:s0960077925006472. 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.