IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/1642139.html
   My bibliography  Save this article

The Johnson Equation, Fredholm and Wronskian Representations of Solutions, and the Case of Order Three

Author

Listed:
  • Pierre Gaillard

Abstract

We construct solutions to the Johnson equation (J) first by means of Fredholm determinants and then by means of Wronskians of order giving solutions of order depending on parameters. We obtain order rational solutions that can be written as a quotient of two polynomials of degree in , and in depending on parameters. This method gives an infinite hierarchy of solutions to the Johnson equation. In particular, rational solutions are obtained. The solutions of order with parameters are constructed and studied in detail by means of their modulus in the plane in function of time and parameters , , , and .

Suggested Citation

  • Pierre Gaillard, 2018. "The Johnson Equation, Fredholm and Wronskian Representations of Solutions, and the Case of Order Three," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-18, August.
    • Handle: RePEc:hin:jnlamp:1642139
    DOI: 10.1155/2018/1642139
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2018/1642139.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2018/1642139.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/1642139?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
    ---><---

    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:hin:jnlamp:1642139. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.