On the solution of the fractional nonlinear Schrodinger equation

被引：115
|
作者：
Rida, S. Z. [1 ]
EI-Sherbiny, H. M. [2 ]
Arafa, A. A. M. [1 ]
机构：
[1] S Valley Univ, Fac Sci, Dept Math, Qena, Egypt
[2] Suez Canal Univ, Fac Educ, Dept Math, Suez, Egypt
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 05期
关键词：
the decomposition method; NLS equation; numerical solution; fractional calculus;
D O I：
10.1016/j.physleta.2007.06.071
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present the nonlinear Schrodinger (NLS) equation of fractional order. The fractional derivatives are described in the Caputo sense. The Adomian decomposition method (ADM) in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of fractional differential equations. In these schemes, the solution constructed in power series with easily computable components. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：553 / 558
页数：6
相关论文
共 50 条
  • [1] On the Weak Solution to a Fractional Nonlinear Schrodinger Equation
    Zhang, Zujin
    Wang, Xiaofeng
    Yao, Zheng-an
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [2] Fractional nonlinear Schrodinger equation
    Mendez-Navarro, Jesus A.
    Naumkin, Pavel I.
    Sanchez-Suarez, Isahi
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (06):
  • [3] On the solution of the space-time fractional cubic nonlinear Schrodinger equation
    Yousif, E. A.
    Abdel-Salam, E. A-B.
    El-Aasser, M. A.
    [J]. RESULTS IN PHYSICS, 2018, 8 : 702 - 708
  • [4] The quasi-periodic solution of fractional nonlinear Schrodinger equation on tori
    Liu, Jieyu
    Zhang, Jing
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2024, 461
  • [5] ANALYTICAL SOLUTION OF THE SPACE-TIME FRACTIONAL NONLINEAR SCHRODINGER EQUATION
    Abdel-Salam, Emad A-B.
    Yousif, Eltayeb A.
    El-Aasser, Mostafa A.
    [J]. REPORTS ON MATHEMATICAL PHYSICS, 2016, 77 (01) : 19 - 34
  • [6] 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):
  • [7] On the solution of the nonlinear Schrodinger equation
    Zayed, EME
    Zedan, HA
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 16 (01) : 133 - 145
  • [8] A NONLINEAR SCHRODINGER EQUATION WITH FRACTIONAL NOISE
    Deya, Aurelien
    Schaeffer, Nicolas
    Thomann, Laurent
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (06) : 4375 - 4422
  • [9] The fractional discrete nonlinear Schrodinger equation
    Molina, Mario, I
    [J]. PHYSICS LETTERS A, 2020, 384 (08)
  • [10] Ground state solution and nodal solution for fractional nonlinear Schrodinger equation with indefinite potential
    Li, Yuan
    Zhao, Dun
    Wang, Qingxuan
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (04)
12345