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

We consider the higher-order dispersive nonlinear Schrodinger equation including fourth-order dispersion effects and a quintic nonlinearity. This equation describes the propagation of femtosecond light pulses ill 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 Schrodinger equation. Phys Rev Lett 2000;84:4096], we find two different solitary wave solutions under certain parametric conditions. These solutions are ill the form of bright and dark soliton solutions. (C) 2007 Elsevier Ltd. All rights reserved.