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

Yongan Xie and Shengqiang Tang

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/826746

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:826746

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