IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i1p154-159.html
   My bibliography  Save this article

Some periodic and solitary travelling-wave solutions of the short-pulse equation

Author

Listed:
  • Parkes, E.J.

Abstract

Exact periodic and solitary travelling-wave solutions of the short-pulse equation are derived.

Suggested Citation

  • Parkes, E.J., 2008. "Some periodic and solitary travelling-wave solutions of the short-pulse equation," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 154-159.
  • Handle: RePEc:eee:chsofr:v:38:y:2008:i:1:p:154-159
    DOI: 10.1016/j.chaos.2006.10.055
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906010319
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2006.10.055?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. Parkes, E.J., 2007. "Explicit solutions of the reduced Ostrovsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 602-610.
    2. Parkes, E.J. & Vakhnenko, V.O., 2005. "Explicit solutions of the Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1309-1316.
    3. Kalisch, Henrik & Lenells, Jonatan, 2005. "Numerical study of traveling-wave solutions for the Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 287-298.
    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. Abbasbandy, S. & Parkes, E.J., 2008. "Solitary smooth hump solutions of the Camassa–Holm equation by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 581-591.
    2. Parkes, E.J. & Vakhnenko, V.O., 2005. "Explicit solutions of the Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1309-1316.
    3. A. A. Alderremy & Hassan Khan & Rasool Shah & Shaban Aly & Dumitru Baleanu, 2020. "The Analytical Analysis of Time-Fractional Fornberg–Whitham Equations," Mathematics, MDPI, vol. 8(6), pages 1-14, June.
    4. Xianguo Geng & Ruomeng Li, 2019. "On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation," Mathematics, MDPI, vol. 7(10), pages 1-23, October.
    5. Shijie Zeng & Yaqing Liu, 2023. "The Whitham Modulation Solution of the Complex Modified KdV Equation," Mathematics, MDPI, vol. 11(13), pages 1-18, June.
    6. Yuheng Jiang & Yu Tian & Yao Qi, 2024. "Solitary Wave Solutions of a Hyperelastic Dispersive Equation," Mathematics, MDPI, vol. 12(4), pages 1-10, February.
    7. Katrin Grunert & Audun Reigstad, 2021. "Traveling waves for the nonlinear variational wave equation," Partial Differential Equations and Applications, Springer, vol. 2(5), pages 1-21, October.
    8. Hendrik Ranocha & Manuel Quezada Luna & David I. Ketcheson, 2021. "On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations," Partial Differential Equations and Applications, Springer, vol. 2(6), pages 1-26, December.
    9. Abbasbandy, S., 2009. "Solitary wave solutions to the modified form of Camassa–Holm equation by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 428-435.
    10. Qiao, Zhijun & Liu, Liping, 2009. "A new integrable equation with no smooth solitons," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 587-593.
    11. Yin, Jiuli & Tian, Lixin, 2009. "Stumpons and fractal-like wave solutions to the Dullin–Gottwald–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 643-648.
    12. Parker, A., 2007. "Cusped solitons of the Camassa–Holm equation. I. Cuspon solitary wave and antipeakon limit," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 730-739.

    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:38:y:2008:i:1:p:154-159. 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.