On a study of symmetries and conservation laws of a class of time fractional Schrodinger equations with nonlocal nonlinearities

被引：5
|
作者：
Hussain, Q. [1 ]
Zaman, F. D. [1 ]
Bokhari, A. H. [2 ]
Kara, A. H. [3 ]
机构：
[1] Govt Coll Univ, Abdus Salaam Sch Math Sci, Lahore, Pakistan
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
[3] Univ Witwatersrand, Sch Math, ZA-2001 Johannesburg, South Africa
来源：
OPTIK | 2020年 / 224卷
关键词：
Fractional equations; Nonlinear; Nonlocal; Schrodinger;
D O I：
10.1016/j.ijleo.2020.165619
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We investigate the vector fields that arise from one-parameter Lie groups of transformations that leave invariant some classes of fractional nonlinear Schrodinger equation with nonlocal nonlinearity. Furthermore, the associated conserved flows are constructed. To this end, the models adopt the Riemann-Liouville fractional form on the time derivative. Surprisingly, energy conservation is not obtained but charge and momentum are.
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页数：6
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