IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v335y2018icp65-74.html
   My bibliography  Save this article

Approximate conditions admitted by classes of the Lagrangian L=12(−u′2+u2)+ϵiGi(u,u′,u″)

Author

Listed:
  • Jamal, Sameerah
  • Mnguni, Nkosingiphile

Abstract

We investigate a class of Lagrangians that admit a type of perturbed harmonic oscillator which occupies a special place in the literature surrounding perturbation theory. We establish explicit and generalized geometric conditions for the symmetry determining equations. The explicit scheme provided can be followed and specialized for any concrete perturbed differential equation possessing the Lagrangian. A systematic solution of the conditions generate nontrivial approximate symmetries and transformations. Detailed cases are discussed to illustrate the relevance of the conditions, namely (a) G1 as a quadratic polynomial, (b) the Klein–Gordon equation of a particle in the context of Generalized Uncertainty Principle and (c) an orbital equation from an embedded Reissner–Nordström black hole.

Suggested Citation

  • Jamal, Sameerah & Mnguni, Nkosingiphile, 2018. "Approximate conditions admitted by classes of the Lagrangian L=12(−u′2+u2)+ϵiGi(u,u′,u″)," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 65-74.
    • Handle: RePEc:eee:apmaco:v:335:y:2018:i:c:p:65-74
    DOI: 10.1016/j.amc.2018.04.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318303382
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.04.020?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.

    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:apmaco:v:335:y:2018:i:c:p:65-74. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.