IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v121y2016icp166-178.html
   My bibliography  Save this article

Asymptotic behavior of Manakov solitons: Effects of potential wells and humps

Author

Listed:
  • Gerdjikov, V.S.
  • Todorov, M.D.
  • Kyuldjiev, A.V.

Abstract

We consider the asymptotic behavior of the soliton solutions of Manakov’s system perturbed by external potentials. It has already been established that its multisoliton interactions in the adiabatic approximation can be modeled by the complex Toda chain (CTC). The fact that the CTC is a completely integrable system, enables us to determine the asymptotic behavior of the multisoliton trains. In the present study we accent on the 3-soliton initial configurations perturbed by sech-like external potentials and compare the numerical predictions of the Manakov system and the perturbed CTC in different regimes. The results of conducted analysis show that the perturbed CTC can reliably predict the long-time evolution of the Manakov system.

Suggested Citation

  • Gerdjikov, V.S. & Todorov, M.D. & Kyuldjiev, A.V., 2016. "Asymptotic behavior of Manakov solitons: Effects of potential wells and humps," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 121(C), pages 166-178.
    • Handle: RePEc:eee:matcom:v:121:y:2016:i:c:p:166-178
    DOI: 10.1016/j.matcom.2015.10.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475415002189
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2015.10.004?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.

    References listed on IDEAS

    as
    1. Gerdjikov, V.S. & Kostov, N.A. & Doktorov, E.V. & Matsuka, N.P., 2009. "Generalized perturbed complex Toda chain for Manakov system and exact solutions of Bose–Einstein mixtures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(1), pages 112-119.
    2. Todorov, M.D. & Christov, C.I., 2012. "Collision dynamics of elliptically polarized solitons in Coupled Nonlinear Schrödinger Equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(7), pages 1321-1332.
    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.
    1. Todorov, M.D., 2016. "The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled systems of Nonlinear Schrödinger Equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 127(C), pages 273-286.

    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:matcom:v:121:y:2016:i:c:p:166-178. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.