Analytic Solution of the Fractional Order Non-linear Schrödinger Equation and the Fractional Order Klein Gordon Equation

被引：0
|
作者：
Md Ramjan Ali
Uttam Ghosh
Susmita Sarkar
Shantanu Das
机构：
[1] University of Calcutta,Department of Applied Mathematics
[2] Reactor Control Systems Design Section E & I Group BARC,undefined
来源：
Differential Equations and Dynamical Systems | 2022年 / 30卷
关键词：
Fractional sub-equation method; Space–time fractional non-linear Schrödinger equation; Space–time fractional non-linear Klein Gordon equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Solutions of the space–time fractional order non-linear Schrödinger equation and nonlinear Klein Gordon equation have been found here using fractional sub-equation method and improved fractional sub-equation method. All solutions obtained are exact solutions. Graphical presentations of those solutions have been done.
引用
收藏
页码：499 / 512
页数：13
相关论文
共 50 条
  • [31] Periodic solutions of a fractional Schrödinger equation
    Wang, Jian
    Du, Zhuoran
    APPLICABLE ANALYSIS, 2024, 103 (08) : 1540 - 1551
  • [32] Uniform Decay for the Coupled Klein-Gordon-Schrödinger Equation with Linear Memory
    Jong Yeoul Park
    Jung Ae Kim
    Acta Applicandae Mathematicae, 2010, 110 : 449 - 467
  • [33] Global well-posedness for the higher order non-linear Schrödinger equation in modulation spaces
    Carvajal, X.
    Gamboa, P.
    Santos, R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (02)
  • [34] Fifth-order nonlinear Schrödinger equation as Routhian reduction of the nonlinear Klein-Gordon model
    Sedletsky, Yu. V.
    Gandzha, I. S.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2023, 479 (2277):
  • [35] On high-order compact schemes for the multidimensional time-fractional Schrödinger equation
    Rena Eskar
    Xinlong Feng
    Ehmet Kasim
    Advances in Difference Equations, 2020
  • [36] Approximate solution for the Klein Gordon-Schrdinger equation by the homotopy analysis method
    王佳
    李彪
    叶望川
    Chinese Physics B, 2010, 19 (03) : 87 - 93
  • [37] STRUCTURE OF THE ANALYTIC SOLUTIONS FOR THE COMPLEX TIME-FRACTIONAL SCHR?DINGER EQUATION
    Mahmud, Adnan Ahmad
    Tanriverdi, Tanfer
    Muhamad, Kalsum Abdulrahman
    Baskonus, Haci Mehmet
    THERMAL SCIENCE, 2023, 27 (Special Issue 1): : S211 - S225
  • [38] On nonlinear fractional Klein-Gordon equation
    Golmankhaneh, Alireza K.
    Golmankhaneh, Ali K.
    Baleanu, Dumitru
    SIGNAL PROCESSING, 2011, 91 (03) : 446 - 451
  • [39] Optical solitons to time-fractional Sasa-Satsuma higher-order non-linear Schrödinger equation via three analytical techniques
    M. Raheel
    Asim Zafar
    Mustafa Inc
    E. Tala-Tebue
    Optical and Quantum Electronics, 2023, 55
  • [40] Analytic presentation of a solution of the Schrödinger equation
    E. Z. Liverts
    E. G. Drukarev
    R. Krivec
    V. B. Mandelzweig
    Few-Body Systems, 2008, 44 : 367 - 370
12345