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

Author

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  • 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
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    References listed on IDEAS

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    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.
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