On the solution of the space-time fractional cubic nonlinear Schrodinger equation

被引：29
|
作者：
Yousif, E. A. [1 ,3 ]
Abdel-Salam, E. A-B. [1 ,4 ]
El-Aasser, M. A. [2 ,5 ]
机构：
[1] Northern Border Univ, Dept Math, Fac Sci, Ar Ar 91431, Saudi Arabia
[2] Northern Border Univ, Dept Phys, Fac Sci, Ar Ar 91431, Saudi Arabia
[3] Univ Khartoum, Fac Math Sci, Dept Appl Math, Khartoum 11111, Sudan
[4] Assiut Univ, Dept Math, Fac Sci, New Valley Branch, El Kharja 72511, Egypt
[5] Ain Shams Univ, Dept Phys, Fac Sci, Cairo 11566, Egypt
来源：
RESULTS IN PHYSICS | 2018年 / 8卷
关键词：
Fractional mapping expansion method; Nonlinear fractional differential equation; Modified Riemann-Liouville derivative; Space-time fractional nonlinear Schrodinger equation; APPROXIMATE SOLUTION;
D O I：
10.1016/j.rinp.2017.12.065
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The space-time fractional nonlinear Schrodinger equation is studied based on the modified Riemann-Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model. We discuss the effects of the fractional differential order on the W-soliton and bright soliton solutions. The derived solutions show direct proportionality between soliton intensities and the value of the fractional order derivative. (C) 2017 The Authors. Published by Elsevier B.V.
引用
收藏
页码：702 / 708
页数：7
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