ANALYTICAL SOLUTION OF THE SPACE-TIME FRACTIONAL NONLINEAR SCHRODINGER EQUATION

被引：61
|
作者：
Abdel-Salam, Emad A-B. [1 ,4 ]
Yousif, Eltayeb A. [2 ,4 ]
El-Aasser, Mostafa A. [3 ,5 ]
机构：
[1] Assiut Univ, Fac Sci, Dept Math, New Valley Branch, El Kharja 72511, Egypt
[2] Univ Khartoum, Fac Math Sci, Dept Appl Math, Khartoum 11111, Sudan
[3] Ain Shams Univ, Fac Sci, Dept Phys, Cairo 11566, Egypt
[4] Northern Border Univ, Fac Sci, Dept Math, Ar Ar 91431, Saudi Arabia
[5] Northern Border Univ, Fac Sci, Dept Phys, Ar Ar 91431, Saudi Arabia
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2016年 / 77卷 / 01期
关键词：
fractional Riccati expansion method; nonlinear fractional differential equation; modified Riemann-Liouville derivatives; space-time fractional nonlinear Schrodinger equation; PARTIAL-DIFFERENTIAL-EQUATIONS; ORDER; DYNAMICS; PLASMA; MODEL;
D O I：
10.1016/S0034-4877(16)30002-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The space-time fractional nonlinear Schrodinger equation is solved by mean of on the fractional Riccati expansion method. These solutions include generalized trigonometric and hyperbolic functions which could be useful for further understanding of mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time.
引用
收藏
页码：19 / 34
页数：16
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