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
相关论文
共 50 条
  • [31] Space-Time Fractional DKP Equation and Its Solution
    Bouzid, N.
    Merad, M.
    [J]. FEW-BODY SYSTEMS, 2017, 58 (03)
  • [32] On the solution of the fractional nonlinear Schrodinger equation
    Rida, S. Z.
    EI-Sherbiny, H. M.
    Arafa, A. A. M.
    [J]. PHYSICS LETTERS A, 2008, 372 (05) : 553 - 558
  • [33] Space-Time Fractional DKP Equation and Its Solution
    N. Bouzid
    M. Merad
    [J]. Few-Body Systems, 2017, 58
  • [34] Hamiltonian formalism for the nonlinear Schrodinger equation in physical space-time
    Chen, ZD
    Chen, XJ
    Huang, NN
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (06) : 2933 - 2948
  • [35] Effect of a new local derivative on space-time fractional nonlinear Schrodinger equation and its stability analysis
    Akram, Ghazala
    Sadaf, Maasoomah
    Zainab, Iqra
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (09)
  • [36] A series of abundant new optical solitons to the conformable space-time fractional perturbed nonlinear Schrodinger equation
    Nestor, Savaissou
    Houwe, Alphonse
    Betchewe, Gambo
    Inc, Mustafa
    Doka, Serge Y.
    [J]. PHYSICA SCRIPTA, 2020, 95 (08)
  • [37] Optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrodinger equation
    Esen, Alaattin
    Sulaiman, Tukur Abdulkadir
    Bulut, Hasan
    Baskonus, Haci Mehmet
    [J]. OPTIK, 2018, 167 : 150 - 156
  • [38] Numerical solution of fractional-in-space nonlinear Schrodinger equation with the Riesz fractional derivative
    Owolabi, Kolade M.
    Atangana, Abdon
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (09):
  • [39] Novel and diverse soliton constructions for nonlinear space-time fractional modified Camassa-Holm equation and Schrodinger equation
    Islam, Md Tarikul
    Akter, Mst Armina
    Gomez-Aguilar, J. F.
    Akbar, Md Ali
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (04)
  • [40] Space-time scattering for the Schrodinger equation
    Jensen, A
    [J]. ARKIV FOR MATEMATIK, 1998, 36 (02): : 363 - 377
12345