IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n809824.html

Wave‐Breaking Criterion for the Generalized Weakly Dissipative Periodic Two‐Component Hunter‐Saxton System

Author

Listed:
  • Jianmei Zhang
  • Lixin Tian

Abstract

This paper studies the wave‐breaking criterion for the generalized weakly dissipative two‐component Hunter‐Saxton system in the periodic setting. We get local well‐posedness for the generalized weakly dissipative two‐component Hunter‐Saxton system. We study a wave‐breaking criterion for solutions and results of wave‐breaking solutions with certain initial profiles.

Suggested Citation

  • Jianmei Zhang & Lixin Tian, 2013. "Wave‐Breaking Criterion for the Generalized Weakly Dissipative Periodic Two‐Component Hunter‐Saxton System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:809824
    DOI: 10.1155/2013/809824
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/809824
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/809824?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. Weiguo Rui & Yao Long, 2012. "Integral Bifurcation Method together with a Translation‐Dilation Transformation for Solving an Integrable 2‐Component Camassa‐Holm Shallow Water System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Weiguo Rui & Yao Long, 2012. "Integral Bifurcation Method together with a Translation-Dilation Transformation for Solving an Integrable 2-Component Camassa-Holm Shallow Water System," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-21, December.
    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. Qing Meng & Bin He, 2014. "Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two‐Component Hunter‐Saxton System," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).

    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. Weiguo Rui, 2013. "Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzéica‐Dodd‐Bullough‐Mikhailov Type," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Yongsheng Mi & Chunlai Mu, 2013. "Well‐Posedness, Blow‐Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two‐Component Camassa‐Holm Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

    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:jnljam:v:2013:y:2013:i:1:n:809824. 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/4185 .

    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.