IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-011-5157-3_2.html
   My bibliography  Save this book chapter

Generation and Suppression of Radiation by Solitary Pulses

In: Differential Equations Theory, Numerics and Applications

Author

Listed:
  • Hsueh-Chia Chang

    (University of Notre Dame, Department of Chemical Engineering)

  • Evgeny A. Demekhin

    (University of Notre Dame, Department of Chemical Engineering
    Kuban State Technological University, Department of Applied Mathematics)

  • Evgeny Kalaidin

    (University of Notre Dame, Department of Chemical Engineering)

Abstract

The description of the spatio-temporal dynamics of an extended active/dispersive medium can be simplified considerably if the dynamics is dominated by a fixed number of solitary pulses separated by radiation-free flat substrates. Radiation is generated in a noise-free environment when excess mass drains out of a pulse in the form of a spreading shelf and the radiation grows rapidly by feeding on the active substrate. However, this growth can be suppressed if the localized radiation packet is absorbed by a second pulse. It is shown that both the generation and suppression mechanisms can be quantitatively understood by analyzing the essential spectrum and a peculiar discrete spectrum of the equilibrium pulse called resonance pole. An explicit criterion is then developed and verified numerically for when the spatio-temporal dynamics of the generalized Kuramoto-Sivashinsky (gK S) equation is dominated by robust solitary pulses.

Suggested Citation

  • Hsueh-Chia Chang & Evgeny A. Demekhin & Evgeny Kalaidin, 1997. "Generation and Suppression of Radiation by Solitary Pulses," Springer Books, in: E. van Groesen & E. Soewono (ed.), Differential Equations Theory, Numerics and Applications, pages 17-50, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5157-3_2
    DOI: 10.1007/978-94-011-5157-3_2
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-94-011-5157-3_2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.