IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v118y2019icp222-233.html
   My bibliography  Save this article

Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach

Author

Listed:
  • Kominis, Yannis
  • Cuevas-Maraver, Jesús
  • Kevrekidis, Panayotis G.
  • Frantzeskakis, Dimitrios J.
  • Bountis, Anastasios

Abstract

The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method. The latter provides analytical conditions for the existence of such waves that bifurcate from the homogeneous nonlinear modes of the system and are located at specific positions with respect to the underlying potential. It is shown that the necessary conditions for the existence of continuous families of stationary solitary waves, as they arise from Melnikov theory, provide general constraints for the real and imaginary part of the potential, that are not restricted to symmetry conditions or specific types of potentials. Direct simulations are used to compare numerical results with the analytical predictions, as well as to investigate the propagation dynamics of the solitary waves.

Suggested Citation

  • Kominis, Yannis & Cuevas-Maraver, Jesús & Kevrekidis, Panayotis G. & Frantzeskakis, Dimitrios J. & Bountis, Anastasios, 2019. "Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 222-233.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:222-233
    DOI: 10.1016/j.chaos.2018.11.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918308464
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.11.021?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:chsofr:v:118:y:2019:i:c:p:222-233. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.