IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v109y2018icp83-89.html
   My bibliography  Save this article

Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices

Author

Listed:
  • Göksel, İzzet
  • Antar, Nalan
  • Bakırtaş, İlkay

Abstract

In this paper, we discuss the existence of lattice solitons supported by cubic-saturable nonlinearity in the framework of nonlinear Schrödinger (NLS) equation with external potentials such as parity-time-symmetric lattices with and without defects by using the pseudo-spectral renormalization method. Linear and nonlinear stability properties of the lattice solitons centered on the maximum of the PT-symmetric potential are investigated in detail.

Suggested Citation

  • Göksel, İzzet & Antar, Nalan & Bakırtaş, İlkay, 2018. "Two-dimensional solitons in cubic-saturable media with PT-symmetric lattices," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 83-89.
  • Handle: RePEc:eee:chsofr:v:109:y:2018:i:c:p:83-89
    DOI: 10.1016/j.chaos.2018.02.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918300651
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2018.02.019?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. Nalan Antar, 2014. "Pseudospectral Renormalization Method for Solitons in Quasicrystal Lattice with the Cubic-Quintic Nonlinearity," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-17, September.
    2. Demetrios N. Christodoulides & Falk Lederer & Yaron Silberberg, 2003. "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature, Nature, vol. 424(6950), pages 817-823, August.
    3. Calvo, Gabriel F. & Belmonte-Beitia, Juan & Pérez-García, Víctor M., 2009. "Exact bright and dark spatial soliton solutions in saturable nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1791-1798.
    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. Zhaohui Dong & Xiaoxiong Wu & Yiwen Yang & Penghong Yu & Xianfeng Chen & Luqi Yuan, 2024. "Temporal multilayer structures in discrete physical systems towards arbitrary-dimensional non-Abelian Aharonov-Bohm interferences," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    2. Yang Yang & Robert J. Chapman & Ben Haylock & Francesco Lenzini & Yogesh N. Joglekar & Mirko Lobino & Alberto Peruzzo, 2024. "Programmable high-dimensional Hamiltonian in a photonic waveguide array," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    3. Bao, Y.Y. & Li, S.R. & Liu, Y.H. & Xu, T.F., 2022. "Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    4. Kartashov, Yaroslav V., 2023. "Vortex solitons in large-scale waveguide arrays with adjustable discrete rotational symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    5. Li, S.R. & Bao, Y.Y. & Liu, Y.H. & Xu, T.F., 2022. "Bright solitons in fractional coupler with spatially periodical modulated nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    6. Chengzhi Qin & Han Ye & Shulin Wang & Lange Zhao & Menglin Liu & Yinglan Li & Xinyuan Hu & Chenyu Liu & Bing Wang & Stefano Longhi & Peixiang Lu, 2024. "Observation of discrete-light temporal refraction by moving potentials with broken Galilean invariance," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    7. Midya Parto & Christian Leefmans & James Williams & Franco Nori & Alireza Marandi, 2023. "Non-Abelian effects in dissipative photonic topological lattices," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    8. Eric Cereceda-López & Alexander P. Antonov & Artem Ryabov & Philipp Maass & Pietro Tierno, 2023. "Overcrowding induces fast colloidal solitons in a slowly rotating potential landscape," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    9. Chen, Guanwei & Ma, Shiwang, 2014. "Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 787-798.
    10. Adrián Espínola-Rocha, J. & Kevrekidis, P.G., 2009. "Thresholds for soliton creation in the Ablowitz–Ladik lattice," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 693-706.
    11. Abbagari, Souleymanou & Houwe, Alphonse & Akinyemi, Lanre & Saliou, Youssoufa & Bouetou, Thomas Bouetou, 2022. "Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

    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:109:y:2018:i:c:p:83-89. 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: 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.