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Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrödinger equation

Author

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  • Azzouzi, F.
  • Triki, H.
  • Mezghiche, K.
  • El Akrmi, A.

Abstract

We consider the higher-order dispersive nonlinear Schrödinger equation including fourth-order dispersion effects and a quintic nonlinearity. This equation describes the propagation of femtosecond light pulses in a medium that exhibits a parabolic nonlinearity law. By adopting the ansatz solution of Li et al. [Zhonghao Li, Lu Li, Huiping Tian, Guosheng Zhou. New types of solitary wave solutions for the higher-order nonlinear Schrödinger equation. Phys Rev Lett 2000;84:4096], we find two different solitary wave solutions under certain parametric conditions. These solutions are in the form of bright and dark soliton solutions.

Suggested Citation

  • Azzouzi, F. & Triki, H. & Mezghiche, K. & El Akrmi, A., 2009. "Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1304-1307.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1304-1307
    DOI: 10.1016/j.chaos.2007.06.024
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    Cited by:

    1. Li, Lingfei & Xie, Yingying, 2021. "Rogue wave solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. Li, Lingfei & Yan, Yongsheng & Xie, Yingying, 2022. "Rational solutions with non-zero offset parameters for an extended (3 + 1)-dimensional BKP-Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Kudryashov, Nikolay A., 2020. "Optical solitons of model with integrable equation for wave packet envelope," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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