IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i5p827-d1603293.html
   My bibliography  Save this article

Kink Soliton Solutions in the Logarithmic Schrödinger Equation

Author

Listed:
  • Tony C. Scott

    (Institut für Physikalische Chemie, RWTH Aachen University, 52056 Aachen, Germany
    Current address: Sathorn St-View, 201/1 St Louise 1 Alley, Khwaeng Yan Nawa, Sathon, Bangkok 10120, Thailand.)

  • M. Lawrence Glasser

    (Department of Physics, Clarkson University, Potsdam, NY 13676, USA)

Abstract

We re-examine the mathematical properties of the kink and antikink soliton solutions to the Logarithmic Schrödinger Equation (LogSE), a nonlinear logarithmic version of the Schrödinger Equation incorporating Everett–Hirschman entropy. We devise successive approximations with increasing accuracy. From the most successful forms, we formulate an analytical solution that provides a very accurate solution to the LogSE. Finally, we consider combinations of such solutions to mathematically model kink and antikink bound states, which can serve as a possible candidate for modeling dilatonic quantum gravity states.

Suggested Citation

  • Tony C. Scott & M. Lawrence Glasser, 2025. "Kink Soliton Solutions in the Logarithmic Schrödinger Equation," Mathematics, MDPI, vol. 13(5), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:827-:d:1603293
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/5/827/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/5/827/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. K. Zloshchastiev, 2012. "Volume element structure and roton-maxon-phonon excitations in superfluid helium beyond the Gross-Pitaevskii approximation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(8), pages 1-8, August.
    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.

      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:gam:jmathe:v:13:y:2025:i:5:p:827-:d:1603293. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      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.