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

页码：815 / 832

页数：18

共 50 条

[41] The (G′/G)-expansion method for the nonlinear lattice equations
Ayhan, Burcu
Bekir, Ahmet
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (09) : 3490 - 3498
[42] The (G'/G) - expansion method using modified Riemann-Liouville derivative for some space- time fractional differential equations
Bekir, Ahmet
Guner, Ozkan
AIN SHAMS ENGINEERING JOURNAL, 2014, 5 (03) : 959 - 965
[43] Observations on the basic (G′/G)-expansion method for finding solutions to nonlinear evolution equations
Parkes, E. J.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1759 - 1763
[44] Invariant subspace method for time-fractional nonlinear evolution equations of the third order
C Uma Maheswari
Supreet Kaur Bakshi
Pramana, 96
[45] Exact travelling wave solutions of some nonlinear equations by (G′/G)-expansion method
Malik, Anand
Chand, Fakir
Mishra, S. C.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) : 2596 - 2612
[46] Invariant subspace method for time-fractional nonlinear evolution equations of the third order
Maheswari, C. Uma
Bakshi, Supreet Kaur
PRAMANA-JOURNAL OF PHYSICS, 2022, 96 (04):
[47] APPLICATION OF THE RATIONAL (G′/G)-EXPANSION METHOD FOR SOLVING SOME COUPLED AND COMBINED WAVE EQUATIONS
Ekici, Mustafa
Unal, Metin
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (01): : 116 - 132
[48] Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method
Li, Wei
Yang, Huizhang
He, Bin
JOURNAL OF APPLIED MATHEMATICS, 2014,
[49] (G′/G2)-Expansion method: new traveling wave solutions for some nonlinear fractional partial differential equations
Arshed, Saima
Sadia, Misbah
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (03)
[50] Exact traveling solutions of some nonlinear evolution equation by (G'/G)-expansion method
Ganji, D. D.
Abdollahzadeh, M.
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (01)

← 1 2 3 4 5 →