SOLVING SOME IMPORTANT NONLINEAR TIME-FRACTIONAL EVOLUTION EQUATIONS BY USING THE (G′/G)-EXPANSION METHOD

被引：2
|
作者：
Djilali, Medjahed [1 ,2 ]
Hakem, Ali [2 ]
机构：
[1] Oran Higher Sch Econ, Oran 31000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab ACEDP, Sidi Bel Abbes 22000, Algeria
来源：
JOURNAL OF SCIENCE AND ARTS | 2020年 / 04期
关键词：
Burgers-Fisher equation; Kaup-Kupershmidt equation; time-fractional; Shallow Water Wave equation; traveling wave solutions; BURGERS-FISHER EQUATION; KAUP-KUPERSHMIDT-EQUATION; TRAVELING-WAVE SOLUTIONS; SOLITON-SOLUTIONS; SYMMETRIES; FORMS; 5TH-ORDER;
D O I：
10.46939/J.Sci.Arts-20.4-a04
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The aim of the present study is to find the exact solutions for three gen-eralized nonlinear time-fractional evolution equations, Kaup-Kupershmidt equation, BurgersFisher equation and, Shallow Water Wave equation. By using the (G'/G)-expansion method and depending on second order linear ODE as well as the complex transformation, three kinds of solutions (hyperbolic, trigonometric, and rational) are obtained. With the help of Mathematica software package, difficult algebraic systems are solved and surfaces of some particular solutions of the equations under study are plotted.
引用
收藏
页码：815 / 832
页数：18
相关论文
共 50 条
  • [1] The (G′/G)-expansion method for some nonlinear evolution equations
    Kutluay, S.
    Esen, A.
    Tasbozan, O.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 384 - 391
  • [2] An improved (G'/G)-expansion method for solving nonlinear evolution equations
    Foundation Department, Shenyang Institute of Engineering, Shenyang, 110136, China
    不详
    Int J Comput Math, 8 (1716-1725):
  • [3] An improved (G′/G)-expansion method for solving nonlinear evolution equations
    Zhang, Jiao
    Jiang, Fengli
    Zhao, Xiaoying
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (08) : 1716 - 1725
  • [4] The (G′/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations
    Yasar, Emrullah
    Giresunlu, Ilker Burak
    PRAMANA-JOURNAL OF PHYSICS, 2016, 87 (02):
  • [5] 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
  • [6] APPLICATIONS OF FRACTIONAL COMPLEX TRANSFORM AND (G′/G)-EXPANSION METHOD FOR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS
    Bekir, Ahmet
    Guner, Ozkan
    Unsal, Omer
    Mirzazadeh, Mohammad
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (01): : 131 - 144
  • [7] 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
  • [8] Some Applications of the (G′/G,1/G)-Expansion Method for Finding Exact Traveling Wave Solutions of Nonlinear Fractional Evolution Equations
    Sirisubtawee, Sekson
    Koonprasert, Sanoe
    Sungnul, Surattana
    SYMMETRY-BASEL, 2019, 11 (08):
  • [9] Application of the (G′/G)-expansion method for nonlinear evolution equations
    Bekir, Ahmet
    PHYSICS LETTERS A, 2008, 372 (19) : 3400 - 3406
  • [10] The Modified (G′/G)-Expansion Method for Nonlinear Evolution Equations
    Zhang, Sheng
    Sun, Ying-Na
    Ba, Jin-Mei
    Dong, Ling
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2011, 66 (1-2): : 33 - 39
12345