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

Yongan Xie and Shengqiang Tang

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:826746

DOI: 10.1155/2014/826746

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