IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v180y2024ics0960077924001310.html
   My bibliography  Save this article

Controllable trajectory and shape of Hermite-Gaussian soliton clusters

Author

Listed:
  • Wang, Qing
  • Zhu, Junying
  • Wang, Jun
  • Yu, Haiyan
  • Hu, Beibei

Abstract

We introduce a kind of Hermite-Gaussian (HG) solitons, with off-axis and chirp parameters, propagating in nonlinear media with harmonic potential wells. The general formula for the trajectory of solitons is derived, and the propagation properties also be analyzed. The results shown that the off-axis HG solitons can present three different propagation states (including serpentine, elliptically and circularly spiral trajectory) depending on the value of the chirp parameter. Accordingly, we propose the concept of cluster composing of several HG solitons. The cluster shape depending on the off-axis parameters of each constituent soliton, and the chirp parameters also play important roles in the evolution of the clusters. Some typical examples are numerically demonstrated for graphically illustrating the propagation properties. Obviously, the controllable trajectory and shape of clusters may be applied in optical communication and particle controlling.

Suggested Citation

  • Wang, Qing & Zhu, Junying & Wang, Jun & Yu, Haiyan & Hu, Beibei, 2024. "Controllable trajectory and shape of Hermite-Gaussian soliton clusters," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001310
    DOI: 10.1016/j.chaos.2024.114580
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924001310
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114580?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. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Liu, Xiuye & Zeng, Jianhua, 2023. "Matter-wave gap solitons and vortices of dense Bose–Einstein condensates in Moiré optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Sun, Zhuo-Yue & Deng, Duo & Pang, Zhao-Guang & Yang, Zhen-Jun, 2024. "Nonlinear transmission dynamics of mutual transformation between array modes and hollow modes in elliptical sine-Gaussian cross-phase beams," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    4. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    5. Li, Jun-Jie & Zhang, Hui-Cong, 2023. "Stability and adaptive evolution of higher-order vector vortex solitons in thermally nonlinear media with tunable transverse size," Chaos, Solitons & Fractals, Elsevier, vol. 177(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. Wang, Qing & Zhou, Liangliang & Zhu, Junying & He, Jun-Rong, 2024. "Multi-vortex beams in nonlinear media with harmonic potential wells," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Transformation of rotating dipole and vortex solitons in an anharmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A., 2024. "Stable higher-order vortex quantum droplets in an annular potential," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    4. Dong, Liangwei & Du, Zhijing & Ren, Zhijun, 2023. "Fractional angular momentum borne on rotating vortex solitons," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    5. Li, Jun-Jie & Zhang, Hui-Cong, 2024. "Interaction-produced vector vortex chaoticons in nonlocal nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    6. Al-Marzoug, S.M. & Baizakov, B.B. & Bahlouli, H., 2023. "Two-dimensional symbiotic solitons and quantum droplets in a quasi-one-dimensional optical lattice," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    7. Manoj Mishra & Kirti Meena & Divya Yadav & Brajraj Singh & Soumendu Jana, 2023. "The dynamics, stability and modulation instability of Gaussian beams in nonlocal nonlinear media," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(8), pages 1-13, August.
    8. Díaz, P. & Molinares, H. & Pérez, L.M. & Laroze, D. & Bragard, J. & Malomed, B.A., 2024. "Stable semivortex gap solitons in a spin–orbit-coupled Fermi gas," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    9. Li, Jun-Jie & Zhang, Hui-Cong, 2023. "Stability and adaptive evolution of higher-order vector vortex solitons in thermally nonlinear media with tunable transverse size," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    10. Kudryashov, Nikolay A. & Kutukov, Aleksandr A. & Biswas, Anjan & Zhou, Qin & Yıldırım, Yakup & Alshomrani, Ali Saleh, 2023. "Optical solitons for the concatenation model: Power-law nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    11. Hanqing Zhao & Boris A. Malomed & Ivan I. Smalyukh, 2023. "Topological solitonic macromolecules," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    12. Yakup Yıldırım & Anjan Biswas & Luminita Moraru & Abdulah A. Alghamdi, 2023. "Quiescent Optical Solitons for the Concatenation Model with Nonlinear Chromatic Dispersion," Mathematics, MDPI, vol. 11(7), pages 1-25, April.
    13. Djazet, Alain & Fewo, Serge I. & Djoko, Martin & Felenou, E. Tchomgo & Kofané, Timoléon C., 2023. "Extension of the stability criterion for dissipative vector solitons of a laser coupled two-dimensional Ginzburg–Landau Equation generated from vector asymmetric inputs," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    14. Ding, Cui-Cui & Zhou, Qin & Xu, Si-Liu & Sun, Yun-Zhou & Liu, Wen-Jun & Mihalache, Dumitru & Malomed, Boris A., 2023. "Controlled nonautonomous matter–wave solitons in spinor Bose–Einstein condensates with spatiotemporal modulation," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    15. Zeng, Liangwei & Belić, Milivoj R. & Mihalache, Dumitru & Zhu, Xing, 2024. "Elliptical and rectangular solitons in media with competing cubic–quintic nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    16. Cao, Na & Yin, XiaoJun & Bai, ShuTing & LiYangXu,, 2023. "Breather wave, lump type and interaction solutions for a high dimensional evolution model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    17. Chen, Zhiming & Wu, Zexing & Zeng, Jianhua, 2023. "Light gap bullets in defocusing media with optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    18. Rao, Jiguang & Mihalache, Dumitru & Zhou, Fang & He, Jingsong & Chen, Sheng-An, 2024. "Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    19. Zhong, Wei-Ping & Belić, Milivoj, 2023. "Nonlinear wave excitations in the (2+1)-D asymmetric Nizhnik-Novikov-Veselov system," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    20. Chen, Zhiming & Liu, Xiuye & Xie, Hongqiang & Zeng, Jianhua, 2024. "Three-dimensional Bose–Einstein gap solitons in optical lattices with fractional diffraction," Chaos, Solitons & Fractals, Elsevier, vol. 180(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:180:y:2024:i:c:s0960077924001310. 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.