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Exact bright and dark spatial soliton solutions in saturable nonlinear media

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  • Calvo, Gabriel F.
  • Belmonte-Beitia, Juan
  • Pérez-García, Víctor M.

Abstract

We present exact analytical bright and dark (black and grey) solitary wave solutions of a nonlinear Schrödinger-type equation describing the propagation of spatial beams in media exhibiting a saturable nonlinearity (such as centrosymmetric photorefractive materials). A qualitative study of the stationary equation is carried out together with a discussion of the stability of the solutions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1791-1798
    DOI: 10.1016/j.chaos.2008.07.024
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    References listed on IDEAS

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    1. Zhu, Shun-dong, 2007. "Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1608-1612.
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    Cited by:

    1. 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.

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