IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v163y2022ics096007792200738x.html
   My bibliography  Save this article

Observation of resonant solitons and associated integrable properties for nonlinear waves

Author

Listed:
  • Chen, Si-Jia
  • Lü, Xing

Abstract

This paper is concerned with the integrability of a (2+1)-dimensional nonlinear evolution equation. The Painlevé analysis proves that this equation possesses the Painlevé property. Other integrable properties, including the bilinear Bäcklund transformation, Bell-polynomial-typed Bäcklund transformation, Lax pairs and infinite conservation laws, are derived directly by virtue of the Hirota bilinear method and Bell polynomials. The general form of the resonant soliton solutions are constructed based on the linear superposition principle. The resonant two-soliton solutions consist of three waves, each of which is one-soliton profile. For the resonant three-soliton solutions, the resonance of waves may cause some waves to disappear or appear. We hope that the various resonant phenomena discussed here will be helpful to understand the propagation of nonlinear waves.

Suggested Citation

  • Chen, Si-Jia & Lü, Xing, 2022. "Observation of resonant solitons and associated integrable properties for nonlinear waves," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    • Handle: RePEc:eee:chsofr:v:163:y:2022:i:c:s096007792200738x
    DOI: 10.1016/j.chaos.2022.112543
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792200738X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112543?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. Deng, Shu-fang, 2005. "Bäcklund transformation and soliton solutions for KP equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 475-480.
    2. Houwe, Alphonse & Abbagari, Souleymanou & Inc, Mustafa & Betchewe, Gambo & Doka, Serge Y. & Crépin, Kofane T., 2022. "Envelope solitons of the nonlinear discrete vertical dust grain oscillation in dusty plasma crystals," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. He, Xue-Jiao & Lü, Xing, 2022. "M-lump solution, soliton solution and rational solution to a (3+1)-dimensional nonlinear model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 327-340.
    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. 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).

    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, Xiaoning & Liu, Minzhuang & Ci, Yusheng & Wu, Lina, 2022. "Effect of front two adjacent vehicles’ velocity information on car-following model construction and stability analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    2. Uddin, M. Hafiz & Zaman, U.H.M. & Arefin, Mohammad Asif & Akbar, M. Ali, 2022. "Nonlinear dispersive wave propagation pattern in optical fiber system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Chen, Peng & Wang, Guang-sheng & Zhang, Da-jun, 2009. "The limit solutions of the difference–difference KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 376-381.
    4. 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).
    5. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.

    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:163:y:2022:i:c:s096007792200738x. 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.