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

Yongan Xie | Zendy; Shengqiang Tang | Zendy

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

Author(s) -

Yongan Xie,

Shengqiang Tang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/826746

Subject(s) - quintic function , nonlinear system , femtosecond , mathematical analysis , mathematics , nonlinear schrödinger equation , schrödinger equation , class (philosophy) , bifurcation , physics , classical mechanics , quantum mechanics , laser , artificial intelligence , computer science

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

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