IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n984791.html

New Exact Explicit Nonlinear Wave Solutions for the Broer‐Kaup Equation

Author

Listed:
  • Zhenshu Wen

Abstract

We study the nonlinear wave solutions for the Broer‐Kaup equation. Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, singular solutions, periodic singular solutions, and kink‐shaped solutions, most of which are new. Some previous results are extended.

Suggested Citation

  • Zhenshu Wen, 2014. "New Exact Explicit Nonlinear Wave Solutions for the Broer‐Kaup Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:984791
    DOI: 10.1155/2014/984791
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/984791
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/984791?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. Ming Song & Bouthina S. Ahmed & Anjan Biswas, 2013. "Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in -Dimensions with Power Law Nonlinearity," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, March.
    2. Shaoyong Li & Zhengrong Liu, 2013. "The Traveling Wave Solutions and Their Bifurcations for the BBM-Like Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-17, August.
    3. Yun Wu & Zhengrong Liu, 2013. "New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-18, August.
    4. Yun Wu & Zhengrong Liu, 2013. "New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel‐Korteweg‐de Vries Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Shaoyong Li & Zhengrong Liu, 2013. "The Traveling Wave Solutions and Their Bifurcations for the BBM‐Like B(m, n) Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    6. Ming Song & Bouthina S. Ahmed & Anjan Biswas, 2013. "Topological Soliton Solution and Bifurcation Analysis of the Klein‐Gordon‐Zakharov Equation in (1 + 1)‐Dimensions with Power Law Nonlinearity," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    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. Yating Yi & Zhengrong Liu, 2013. "The Bifurcations of Traveling Wave Solutions of the Kundu Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Xueqin Wang & Yadong Shang & Huahui Di, 2017. "Exact Solutions for the Wick‐Type Stochastic Schamel‐Korteweg‐de Vries Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).
    3. Ben-gong Zhang, 2013. "Analytical and Multishaped Solitary Wave Solutions for Extended Reduced Ostrovsky Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Kengne, Emmanuel & Lakhssassi, Ahmed & Liu, WuMing, 2020. "Nonlinear Schamel–Korteweg deVries equation for a modified Noguchi nonlinear electric transmission network: Analytical circuit modeling," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    5. Hu, Beibei & Zhang, Ling & Xia, Tiecheng & Zhang, Ning, 2020. "On the Riemann-Hilbert problem of the Kundu equation," Applied Mathematics and Computation, Elsevier, vol. 381(C).

    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:2014:y:2014:i:1:n:984791. 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.