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New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation

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  • Yongan Xie
  • Shengqiang Tang

Abstract

We study a class of high dispersive cubic-quintic nonlinear Schrödinger equations, which describes the propagation of femtosecond light pulses in a medium that exhibits a parabolic nonlinearity law. Applying bifurcation theory of dynamical systems and the Fan sub-equations method, more types of exact solutions, particularly solitary wave solutions, are obtained for the first time.

Suggested Citation

  • Yongan Xie & Shengqiang Tang, 2014. "New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, August.
    • Handle: RePEc:hin:jnljam:826746
    DOI: 10.1155/2014/826746
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