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.
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页码：702 / 708
页数：7
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