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

[21] A Generalized and Improved (G′/G)-Expansion Method for Nonlinear Evolution Equations
Akbar, M. Ali
Ali, Norhashidah Hj. Mohd.
Zayed, E. M. E.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[22] Application of (G′/G)-expansion method to two nonlinear evolution equations
Liu, Xun
Tian, Lixin
Wu, Yuhai
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1376 - 1384
[23] Exact solutions of nonlinear fractional differential equations by (G'/G)-expansion method
Ahmet Bekir
zkan Güner
Chinese Physics B, 2013, (11) : 144 - 149
[24] Exact solutions of nonlinear fractional differential equations by (G′/G)-expansion method
Bekir, Ahmet
Guner, Ozkan
CHINESE PHYSICS B, 2013, 22 (11)
[25] Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the (G′/G, 1/G)-expansion method
Al-Shawba, Altaf A.
Abdullah, Farah A.
Gepreel, Khaled A.
Azmi, Amirah
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[26] APPLICATION OF THE (G '/G)-EXPANSION METHOD FOR SOME SPACE-TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Bayrak, Mine Aylin
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2018, 67 (01): : 60 - 67
[27] On exact solutions of some important nonlinear conformable time-fractional differential equations
Özkan E.M.
Özkan A.
SeMA Journal, 2023, 80 (2) : 303 - 318
[28] Travelling wave solutions of two nonlinear evolution equations by using the (G′/G)-expansion method
Zheng, Bin
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5743 - 5753
[29] Exact solutions for nonlinear fractional differential equations using (G′/G2)-expansion method
Mohyud-Din, Syed Tauseef
Bibi, Sadaf
ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (02) : 1003 - 1008
[30] Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics
Ekici, Mustafa
SYMMETRY-BASEL, 2023, 15 (10):

← 1 2 3 4 5 →