IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v34y2007i5p1608-1612.html
   My bibliography  Save this article

Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method

Author

Listed:
  • Zhu, Shun-dong

Abstract

By using the extended hyperbolic auxiliary equation method, we present explicit exact solutions of the high-order nonlinear Schrödinger equation with the third-order and fourth-order dispersion and the cubic-quintic nonlinear terms, describing the propagation of extremely short pulses. These solutions include trigonometric function type and exact solitary wave solutions of hyperbolic function type. Among these solutions, some are found for the first time.

Suggested Citation

  • Zhu, Shun-dong, 2007. "Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1608-1612.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1608-1612
    DOI: 10.1016/j.chaos.2006.05.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906004371
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.05.001?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shidfar, A. & Molabahrami, A. & Babaei, A. & Yazdanian, A., 2009. "A study on the d-dimensional Schrödinger equation with a power-law nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2154-2158.
    2. Triki, Houria & Taha, Thiab R., 2009. "Exact analytic solitary wave solutions for the RKL model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 849-854.
    3. Wang, Pan & Tian, Bo & Sun, Kun & Qi, Feng-Hua, 2015. "Bright and dark soliton solutions and Bäcklund transformation for the Eckhaus–Kundu equation with the cubic–quintic nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 233-242.
    4. Belmonte-Beitia, Juan, 2009. "Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1005-1009.
    5. Calvo, Gabriel F. & Belmonte-Beitia, Juan & Pérez-García, Víctor M., 2009. "Exact bright and dark spatial soliton solutions in saturable nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1791-1798.
    6. Zedan, Hassan A., 2009. "New solutions for the cubic Schrödinger equation and solitonic solutions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 550-559.
    7. Belmonte-Beitia, Juan & Konotop, Vladimir V. & Pérez-García, Víctor M. & Vekslerchik, Vadym E., 2009. "Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: Linear and nonlinear lattices," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1158-1166.

    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:34:y:2007:i:5:p:1608-1612. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.