EXACT SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY (G '/ G, 1 / G)-EXPANSION METHOD

被引：0

作者：

Shakeel, Muhammad ^{[1
]}

Ahmad, Jamshad ^{[2
]}

ul Hassan, Qazi Mahmood ^{[3
]}

Naeem, Muhammad ^{[4
]}

机构：

[1] Mohi ud Din Islam Univ, Dept Math, Nerian Sharif AJ & K, Islamabad, Pakistan

[2] Univ Gujrat, Dept Math, Fac Sci, Islamabad, Pakistan

[3] Univ Wah, Dept Math, Wah Cantt, Pakistan

[4] UET Lahore, Fac Sci, Dept Math, Lahore, Pakistan

来源：

JOURNAL OF SCIENCE AND ARTS | 2016年 / 03期

关键词：

(G; G; 1 / G)-expansion method; mBBM equation; CBS equation; Solitary wave solutions; Exact solutions;

D O I：

暂无

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：

In this article one of the most reliable and effective method, (G' / G, 1 / G)-expansion method has been employed to obtain exact traveling wave solutions of highly nonlinear partial differential equations (PDEs). The set of abundant exact traveling wave solutions of two very important nonlinear evolution equations of mathematical physics, i.e., modifiedBenjamin-Bona-Mahony (mBBM) and (2 + 1)-dimensional Calogero Bogoyavlenskii-Schiff (CBS) equations are developed. The comparison of the obtained numerical results with the existing along with the graphical representation is presented. It is shown that the Bi variable (G' / G, 1 / G)-expansion method is a potent and very concise mathematical technique for solving nonlinear problems.

引用

页码：229 / 242

页数：14

共 50 条

[41] New Exact Solutions for Boussinesq Type Equations by Using (G′/G,1/G) and (1/G′)-Expansion Methods
Demiray, S.
Unsal, O.
Bekir, A.
ACTA PHYSICA POLONICA A, 2014, 125 (05) : 1093 - 1098
[42] Exact Solutions of Damped Improved Boussinesq Equations by Extended (G′/G)-Expansion Method
Fan, Kai
Zhou, Cunlong
COMPLEXITY, 2020, 2020
[43] Exact solutions of shallow water wave equations by using the (G′/G)-expansion method
Bekir, Ahmet
Aksoy, Esin
WAVES IN RANDOM AND COMPLEX MEDIA, 2012, 22 (03) : 317 - 331
[44] Application of the (G′/G)-expansion method to (3+1)-dimensional nonlinear evolution equations
Song, Ming
Ge, Yuli
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1220 - 1227
[45] The new approach of the generalized (G '/G)expansion method for nonlinear evolution equations
Alam, Md Nur
Akbar, M. Ali
AIN SHAMS ENGINEERING JOURNAL, 2014, 5 (02) : 595 - 603
[46] A generalized (G′/G)-expansion method and its applications to nonlinear evolution equations
Lue, Hai-Ling
Liu, Xi-Qiang
Niu, Lei
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3811 - 3816
[47] Exact travelling solutions for some nonlinear physical models by (G′/G)-expansion method
Bahrami, B. Salim
Abdollahzadeh, H.
Berijani, I. M.
Ganji, D. D.
Abdollahzadeh, M.
PRAMANA-JOURNAL OF PHYSICS, 2011, 77 (02): : 263 - 275
[48] Exact travelling solutions for some nonlinear physical models by ( G′/ G)-expansion method
B SALIM BAHRAMI
H ABDOLLAHZADEH
I M BERIJANI
D D GANJI
M ABDOLLAHZADEH
Pramana, 2011, 77 : 263 - 275
[49] 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
[50] Exact traveling wave solutions of nonlinear variable-coefficients evolution equations with forced terms using the generalized (G′/G)-expansion method
Zayed E.M.E.
Abdelaziz M.A.M.
Computational Mathematics and Modeling, 2013, 24 (1) : 103 - 113

← 1 2 3 4 5 →