Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method

被引：22
|
作者：
Topsakal, Muammer [1 ]
Tascan, Filiz [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2020年 / 5卷 / 01期
关键词：
Space-time fractional Klein-Gordon equation; Time-fractional Zoomeron Equation; Conformable fractional derivative; Auxiliary equation method; FUNCTIONAL VARIABLE METHOD; DIFFERENTIAL-EQUATIONS; (G'/G)-EXPANSION METHOD; SOLITON-SOLUTIONS;
D O I：
10.2478/AMNS.2020.1.00041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the new exact solutions of nonlinear conformable fractional partial differential equations(CFPDEs) are achieved by using auxiliary equation method for the nonlinear space-time fractional Klein-Gordon equation and the (2+1)-dimensional time-fractional Zoomeron equation. The technique is easily applicable which can be applied successfully to get the solutions for different types of nonlinear CFPDEs. The conformable fractional derivative(CFD) definitions are used to cope with the fractional derivatives.
引用
收藏
页码：437 / 446
页数：10
相关论文
共 50 条
  • [1] Soliton solutions of (2+1)-dimensional time-fractional Zoomeron equation
    Aksoy, Esin
    Cevikel, Adem C.
    Bekir, Ahmet
    OPTIK, 2016, 127 (17): : 6933 - 6942
  • [2] Analytical approach for space-time fractional Klein-Gordon equation
    Unsal, Omer
    Guner, Ozkan
    Bekir, Ahmet
    OPTIK, 2017, 135 : 337 - 345
  • [3] A robust numerical method to find the solutions of time-fractional Klein-Gordon equation
    Guaman, Jorge Sebastian Bunay
    Shather, Akram H.
    Hussein, Abbas Hameed Abdul
    Diaa, Nabaa Muhammad
    Khalid, Mohammed
    Kareem, Nihad Abdul
    Sreseh, Saleh Naji
    Fiallos, Juan Jose Flores
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2025, 13 (02): : 709 - 720
  • [4] Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods
    Ozkan, Ayten
    Ozkan, Erdogan Mehmet
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (03): : 674 - 685
  • [5] Travelling wave solutions of (2+1)-dimensional generalised time-fractional Hirota equation
    Zhang, Youwei
    PRAMANA-JOURNAL OF PHYSICS, 2018, 90 (03):
  • [6] The Investigation of Exact Solutions of Nonlinear Time-Fractional Klein-Gordon Equation by Using Generalized Kudryashov Method
    Demiray, Seyma Tuluce
    Pandir, Yusuf
    Bulut, Hasan
    10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014), 2014, 1637 : 283 - 289
  • [7] Exact wave solutions for the nonlinear time fractional Sharma-Tasso-Olver equation and the fractional Klein-Gordon equation in mathematical physics
    Roy, Ripan
    Akbar, M. Ali
    Wazwaz, Abdul Majid
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
  • [8] On the solutions of (2+1)-dimensional time-fractional Schrodinger equation
    Li, Chao
    Guo, Qilong
    Zhao, Meimei
    APPLIED MATHEMATICS LETTERS, 2019, 94 : 238 - 243
  • [9] New soliton solutions to the nonlinear complex fractional Schrodinger equation and the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity
    Alam, Md Nur
    Li, Xin
    PHYSICA SCRIPTA, 2020, 95 (04)
  • [10] New analytical solutions of (2+1)-dimensional conformable time fractional Zoomeron equation via two distinct techniques
    Kumar, Dipankar
    Kaplan, Melike
    CHINESE JOURNAL OF PHYSICS, 2018, 56 (05) : 2173 - 2185
12345