IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v37y2008i1p269-277.html
   My bibliography  Save this article

Novel interactions between solitons of the (2+1)-dimensional dispersive long wave equation

Author

Listed:
  • Dai, Chaoqing
  • Ni, Yongzhou

Abstract

In this paper, first, the general projective Riccati equation method is applied to derive variable separation solutions of the (2+1)-dimensional dispersive long wave equation. By further studying, we find that these variable separation solutions obtained by PREM, which seem independent, actually depend on each other. Based on variable separation solution and by selecting appropriate multivalued functions, novel interactions among special bell-like semi-foldon, special peakon-like semi-foldon and foldon are investigated. Furthermore, the explicit phase shifts for all the local excitations offered by the common formula have been given, and are applied to these novel interactions in detail.

Suggested Citation

  • Dai, Chaoqing & Ni, Yongzhou, 2008. "Novel interactions between solitons of the (2+1)-dimensional dispersive long wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 269-277.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:269-277
    DOI: 10.1016/j.chaos.2006.08.041
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906008642
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.08.041?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. Dai, Chaoqing & Zhang, Jiefang, 2007. "Variable separation solutions for the (2+1)-dimensional generalized Nizhnik–Novikov–Veselov equation," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 564-571.
    2. Dai, Chaoqing & Liu, Fengqin & Zhang, Jiefang, 2008. "Novel types of interactions between solitons in the (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov system," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 437-445.
    3. Dai, Chaoqing & Zhou, Guoquan & Zhang, Jiefang, 2007. "Exotic localized structures based on variable separation solution of (2+1)-dimensional KdV equation via the extended tanh-function method," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1458-1467.
    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.

      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:eee:chsofr:v:37:y:2008:i:1:p:269-277. 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.