IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v50y1999i1p255-263.html
   My bibliography  Save this article

Symplectic integration of Sine–Gordon type systems

Author

Listed:
  • Lu, Xiaowu
  • Schmid, Rudolf

Abstract

We construct a class of symplectic integration schemes to general Sine–Gordon type systems. We also conduct several numerical tests for these symplectic schemes. Our numerical results demonstrate the effectiveness of these schemes for numerical computation of the solutions to the general Sine–Gordon type systems.

Suggested Citation

  • Lu, Xiaowu & Schmid, Rudolf, 1999. "Symplectic integration of Sine–Gordon type systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 50(1), pages 255-263.
    • Handle: RePEc:eee:matcom:v:50:y:1999:i:1:p:255-263
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847549900083X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Lu, Xiaowu & Schmid, Rudolf, 1997. "A symplectic algorithm for wave equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(1), pages 29-38.
    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. Karpeev, D.A. & Schober, C.M., 2001. "Symplectic integrators for discrete nonlinear Schrödinger systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(2), pages 145-156.
    2. Lu, Xiaowu, 2001. "Symplectic computation of solitary waves for general Sine–Gordon equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 519-532.
    3. Sheng, Q. & Khaliq, A.Q. M. & Voss, D.A., 2005. "Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(4), pages 355-373.

    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. Lu, Xiaowu, 2001. "Symplectic computation of solitary waves for general Sine–Gordon equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 519-532.
    2. Brugnano, L. & Frasca Caccia, G. & Iavernaro, F., 2015. "Energy conservation issues in the numerical solution of the semilinear wave equation," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 842-870.

    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:matcom:v:50:y:1999:i:1:p:255-263. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.