IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v177y2023ics0960077923011360.html
   My bibliography  Save this article

Transformation of rotating dipole and vortex solitons in an anharmonic potential

Author

Listed:
  • Liu, Dongshuai
  • Gao, Yanxia
  • Fan, Dianyuan
  • Zhang, Lifu

Abstract

We investigate the basic properties of dipole and vortex solitons, both quiescent and rotating, supported by the axially symmetric anharmonic potential in a medium with cubic-quintic nonlinearity. The static solitons exhibit nonmonotonous behavior in terms of propagation constant as a function, and feature bistability regions. In the rotating frame, the dipole solitons transform into vortex solitons and the topological charge increases gradually with the growth of rotation frequency. Linear stability analysis and direct simulations reveal that rotating dipole solitons with higher charges are more stable than those with lower charges. Meanwhile, dipole solitons can rotate persistently during propagation and preserve their shape over multiple rotation periods. Our findings provide an alternative way for the transformation to achieve dipole and vortex solitons with higher topological charges.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011360
    DOI: 10.1016/j.chaos.2023.114234
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923011360
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.114234?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. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    3. 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).
    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 & 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).
    2. 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).
    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, 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).
    6. 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).
    7. Hanqing Zhao & Boris A. Malomed & Ivan I. Smalyukh, 2023. "Topological solitonic macromolecules," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    8. 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).
    9. Mahfoudi, Narimene & Bouguerra, Abdesselam & Triki, Houria & Azzouzi, Faiçal & Biswas, Anjan & Yıldırım, Yakup & Alshomrani, Ali Saleh, 2024. "Chirped self-similar optical solitons with cubic–quintic–septic–nonic form of self-phase modulation," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    10. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    11. Xu, Yinshen & Li, Peixin & Mihalache, Dumitru & He, Jingsong, 2023. "Resonant collisions among multi-breathers in the Mel’nikov system," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    12. 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).
    13. 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.
    14. 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.
    15. 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).
    16. 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).
    17. 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).
    18. Li, Chunyan & Konotop, Vladimir V. & Malomed, Boris A. & Kartashov, Yaroslav V., 2023. "Bound states in Bose-Einstein condensates with radially-periodic spin-orbit coupling," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    19. 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).
    20. 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).

    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:177:y:2023:i:c:s0960077923011360. 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.