Analytical solutions with the improved (G'/G)-expansion method for nonlinear evolution equations

被引：2
|
作者：
Kaplan, Melike [1 ]
Bekir, Ahmet [1 ]
Akbulut, Arzu [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Math Comp Dept, TR-26480 Eskisehir, Turkey
来源：
INTERNATIONAL CONFERENCE ON QUANTUM SCIENCE AND APPLICATIONS (ICQSA-2016) | 2016年 / 766卷
关键词：
D O I：
10.1088/1742-6596/766/1/012033
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
To seek the exact solutions of nonlinear partial differential equations (NPDEs), the improved (G'/G)-expansion method is proposed in the present work. With the aid of symbolic computation, this effective method is applied to construct exact solutions of the (1+1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and (3+1)-dimensional Kudryashov-Sinelshchikov equation. As a result, new types of exact solutions are obtained.
引用
收藏
页数：6
相关论文
共 50 条
  • [41] Solving two fifth order strong nonlinear evolution equations by using the (G/G′)-expansion method
    Bian, Chunquan
    Pang, Jing
    Jin, Linghua
    Ying, Xiaomei
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (09) : 2337 - 2343
  • [42] Applications of the (G′/G2)-Expansion Method for Solving Certain Nonlinear Conformable Evolution Equations
    Kaewta, Supaporn
    Sirisubtawee, Sekson
    Koonprasert, Sanoe
    Sungnul, Surattana
    FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [43] The (G′/G, 1/G)-Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations
    Zayed, E. M. E.
    Alurrfi, K. A. E.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [44] The (G′/G)-expansion method for nonlinear differential-difference equations
    Zhang, Sheng
    Dong, Ling
    Ba, Jin-Mei
    Sun, Ying-Na
    PHYSICS LETTERS A, 2009, 373 (10) : 905 - 910
  • [45] The (G′/G)-expansion method for the nonlinear time fractional differential equations
    Unsal, Omer
    Guner, Ozkan
    Bekir, Ahmet
    Cevikel, Adem C.
    ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES, 2017, 1798
  • [46] Exact and soliton solutions of nonlinear evolution equations in mathematical physics using the generalized (G′/G)-expansion approach
    Hossain, A. K. M. Kazi Sazzad
    Islam, M. Kamrul
    Akter, Halida
    Akbar, M. Ali
    PHYSICA SCRIPTA, 2025, 100 (01)
  • [47] Analytical Solutions of Fractional Klein-Gordon and Gas Dynamics Equations, via the (G/G)-Expansion Method
    Khan, Hassan
    Barak, Shoaib
    Kumam, Poom
    Arif, Muhammad
    SYMMETRY-BASEL, 2019, 11 (04):
  • [48] New approach of (G′/G)- expansion method and new approach of generalized (G′/G)-expansion method for nonlinear evolution equation
    Naher, Hasibun
    Abdullah, Farah Aini
    AIP ADVANCES, 2013, 3 (03)
  • [49] Soliton solutions of coupled systems by improved (G′/G)-expansion method
    Mohyud-Din, Syed Tauseef
    Shakeel, Muhammad
    NONLINEAR AND MODERN MATHEMATICAL PHYSICS, 2013, 1562 : 156 - 166
  • [50] Application of the G′/G-expansion method for nonlinear diffusion equations with nonlinear source
    Ebadi, Ghodrat
    Biswas, Anjan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07): : 1391 - 1398
12345