Bright Soliton Solutions for Time Fractional Korteweg-de Vries Equation

被引:2
|
作者
Ozkan, Erdogan Mehmet [1 ]
Ozkan, Ayten [1 ]
机构
[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkey
关键词
GORDON EQUATIONS; KDV; TRANSFORM; EVOLUTION; SYSTEM;
D O I
10.1063/5.0040280
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this work, He's semi-inverse variation method and the ansatz method with the modified Riemann-Liouville derivative are used to construct the exact solutions for time fractional Korteweg-de Vries (KdV) equation. The fractional KdV equation is transformed to another non-linear differential equation by travelling wave transformations and then these two methods are applied to find the solution.
引用
收藏
页数:5
相关论文
共 50 条
  • [41] MULTIPLE SOLITON SOLUTIONS FOR TWO INTEGRABLE COUPLINGS OF THE MODIFIED KORTEWEG-DE VRIES EQUATION
    Wazwaz, Abdul-Majid
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2013, 14 (03): : 219 - 225
  • [42] On a nonlocal modified Korteweg-de Vries equation: Integrability, Darboux transformation and soliton solutions
    Ji, Jia-Liang
    Zhu, Zuo-Nong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 42 : 699 - 708
  • [43] KORTEWEG-DE VRIES EQUATION
    TSUTSUMI, M
    PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 (06): : 399 - 401
  • [44] The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation
    Ma, Wen-Xiu
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 471 (1-2) : 796 - 811
  • [45] Boundary Stabilization of the Korteweg-de Vries Equation and the Korteweg-de Vries-Burgers Equation
    Chaohua Jia
    Bing-Yu Zhang
    Acta Applicandae Mathematicae, 2012, 118 : 25 - 47
  • [46] Nonautonomous Soliton Solutions of the Modified Korteweg-de Vries-Sine-Gordon Equation
    Popov, S. P.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (11) : 1929 - 1937
  • [47] Soliton solutions for a variable-coefficient Korteweg-de Vries equation in fluids and plasmas
    Jiang, Yan
    Tian, Bo
    Liu, Wen-Jun
    Sun, Kun
    Qu, Qi-Xing
    PHYSICA SCRIPTA, 2010, 82 (05)
  • [48] Soliton Solutions to Generalized Discrete Korteweg-de Vries Equations
    Popov, S. P.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (09) : 1658 - 1668
  • [49] Symmetry Reduction and Soliton-Like Solutions for the Generalized Korteweg-De Vries Equation
    Blazquez-Sanz, D.
    Conde Martin, J. M.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2018, 39 (09) : 1305 - 1314
  • [50] Backlund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation
    Dong, Suyalatu
    Lan, Zhong-Zhou
    Gao, Bo
    Shen, Yujia
    APPLIED MATHEMATICS LETTERS, 2022, 125