The ϕ6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi ^{6}$$\end{document}-model expansion method for solving the nonlinear conformable time-fractional Schrödinger equation with fourth-order dispersion and parabolic law nonlinearity

被引：0
作者：
Elsayed M. E. Zayed
Abdul-Ghani Al-Nowehy
机构：
[1] Zagazig University,Mathematics Department, Faculty of Science
[2] Taiz University,Mathematics Department, Faculty of Education and Science
来源：
Optical and Quantum Electronics | 2018年 / 50卷 / 3期
关键词：
The ; -model expansion method; Conformable fractional derivative; Jacobi elliptic function solutions; Exact solutions; Solitary wave solutions; Other solutions; Nonlinear Schrödinger equation;
D O I：
10.1007/s11082-018-1426-z
中图分类号：
学科分类号：
摘要：
The ϕ6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi ^{6}$$\end{document}-model expansion method combined with the conformable time-fractional derivative is applied in this paper for finding many new exact solutions including Jacobi elliptic function solutions, solitary wave solutions, trigonometric function solutions and other solutions to the nonlinear conformable time-fractional Schrödinger equation with fourth-order dispersion and parabolic law nonlinearity. This method presents a wider applicability for handling the nonlinear partial differential equations. Comparing our results with the well-known results are given.
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