IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v32y2007i1p195-198.html
   My bibliography  Save this article

Variational approach to higher-order water-wave equations

Author

Listed:
  • Wu, Yue

Abstract

A family of variational principles is obtained for the high-order water-wave problem by the semi-inverse method proposed by Ji-Huan He. A new water-wave equation is deduced from the obtained variational principle.

Suggested Citation

  • Wu, Yue, 2007. "Variational approach to higher-order water-wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 195-198.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:195-198
    DOI: 10.1016/j.chaos.2006.05.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906004760
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.05.019?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. Zhang, Juan & Yu, Jian-Yong & Pan, Ning, 2005. "Variational principles for nonlinear fiber optics," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 309-311.
    2. Zhang, Zhengdi & Bi, Qinsheng & Wen, Jianping, 2005. "Bifurcations of traveling wave solutions for two coupled variant Boussinesq equations in shallow water waves," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 631-643.
    3. Zheng, Chun-Long & Fang, Jian-Ping & Chen, Li-Qun, 2005. "New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1741-1748.
    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. He, Ji-Huan, 2009. "A generalized poincaré-invariant action with possible application in strings and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1667-1670.
    2. He, Ji-Huan, 2007. "Variational approach for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1430-1439.

    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. Liu, W.Y. & Yu, Y.J. & Chen, L.D., 2007. "Variational principles for Ginzburg–Landau equation by He’s semi-inverse method," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1801-1803.
    2. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    3. Bi, Qinsheng, 2007. "Peaked singular wave solutions associated with singular curves," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 417-423.
    4. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    5. Anjan Biswas & Trevor Berkemeyer & Salam Khan & Luminita Moraru & Yakup Yıldırım & Hashim M. Alshehri, 2022. "Highly Dispersive Optical Soliton Perturbation, with Maximum Intensity, for the Complex Ginzburg–Landau Equation by Semi-Inverse Variation," Mathematics, MDPI, vol. 10(6), pages 1-11, March.
    6. Kohl, Russell W. & Biswas, Anjan & Zhou, Qin & Ekici, Mehmet & Alzahrani, Abdullah Kamis & Belic, Milivoj R., 2020. "Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    7. Velasco-Juan, M. & Fujioka, J., 2020. "Integral complex modified Korteweg-de Vries (Icm-KdV) equations," Chaos, Solitons & Fractals, Elsevier, vol. 134(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:eee:chsofr:v:32:y:2007:i:1:p:195-198. 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.