IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2020y2020i1n6127294.html

Mixed Rational‐Exponential Solutions to the Kadomtsev‐Petviashvili‐II Equation with a Self‐Consistent Source

Author

Listed:
  • Dan Su
  • Wen-Xiu Ma
  • Xuelin Yong
  • Yehui Huang

Abstract

Explicit rational‐exponential solutions for the Kadomtsev‐Petviashvili‐II equation with a self‐consistent source (KPIIESCS) are studied by the Hirota bilinear method. One typical feature for this hybrid type of solutions is that they contain two arbitrary functions of time variable t which affect the amplitudes and propagation trajectories. The dynamics of solutions are demonstrated by the three‐dimensional figures. The method used here is quite general and can be applied to other equations with self‐content sources.

Suggested Citation

  • Dan Su & Wen-Xiu Ma & Xuelin Yong & Yehui Huang, 2020. "Mixed Rational‐Exponential Solutions to the Kadomtsev‐Petviashvili‐II Equation with a Self‐Consistent Source," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6127294
    DOI: 10.1155/2020/6127294
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2020/6127294
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/6127294?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
    ---><---

    References listed on IDEAS

    as
    1. 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.
    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. Rihan Hai & Hasi Gegen, 2022. "M‐Lump Solution, Semirational Solution, and Self‐Consistent Source Extension of a Novel (2 + 1)‐Dimensional KdV Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    2. Manafian, Jalil & Mohammadi-Ivatloo, Behnam & Abapour, Mehdi, 2019. "Lump-type solutions and interaction phenomenon to the (2+1)-dimensional Breaking Soliton equation," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 13-41.
    3. Sun, Yan & Tian, Bo & Liu, Lei & Wu, Xiao-Yu, 2018. "Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 266-274.

    More about this item

    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:wly:jnlamp:v:2020:y:2020:i:1:n:6127294. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    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.