Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity

被引：0
|
作者：
Elsayed M. E. Zayed
Abdul-Ghani Al-Nowehy
机构：
[1] Zagazig University,Department of Mathematics, Faculty of Sciences
[2] Taiz University,Department of Mathematics, Faculty of Education and Science
来源：
Ricerche di Matematica | 2017年 / 66卷
关键词：
Soliton ansatz method combined with the Jacobi elliptic equation method; F-expansion method; Exact solutions; Jacobi elliptic function solutions; Optical soliton solutions; The nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity; 78A60; 37 K10; 35Q51; 35Q55;
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摘要：
In this article, we apply the soliton ansatz method combined with the Jacobi elliptic equation method which is different from the F-expansion method to obtain several types of Jacobi elliptic function solutions, the optical bright-dark-singular soliton solutions and trigonometric function solutions of the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity, self-steeping and self-frequency shift effects which describes the propagation of an optical pulse in optical fibers. Comparison between our results in this article and the well-known results are given.
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页码：531 / 552
页数：21
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