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

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

Chaos, Solitons & Fractals, 2009, vol. 39, issue 3, 1304-1307

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.

Date: 2009
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.chaos.2007.06.024

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