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

[1] The (G′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
Wang, Mingliang
Li, Xiangzheng
Zhang, Jinliang
PHYSICS LETTERS A, 2008, 372 (04) : 417 - 423
[2] Multiple (G′/G)-expansion method and its applications to nonlinear evolution equations in mathematical physics
Junchao Chen
Biao Li
Pramana, 2012, 78 : 375 - 388
[3] Multiple (G′/G)-expansion method and its applications to nonlinear evolution equations in mathematical physics
Chen, Junchao
Li, Biao
PRAMANA-JOURNAL OF PHYSICS, 2012, 78 (03): : 375 - 388
[4] The (G'/G)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics
Zayed, E. M. E.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2009, 30 (1-2) : 89 - 103
[5] Applications of an Extended (G′/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics
Zayed, E. M. E.
Al-Joudi, Shorog
MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
[6] Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)-expansion method
Aslan, Ismail
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 857 - 863
[7] Travelling Wave Solutions of Nonlinear Evolution Problem Arising in Mathematical Physics through (G′/G)-Expansion Scheme
Fan, Siyuan
Sun, Tianyi
Liu, Peng
Yu, Dongmin
MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
[8] Improved (G′/G)-Expansion Method for Nonlinear Difference Equations in Mathematical Physics
Gepreel, Khaled A.
Mohamed, Mohamed S.
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2015, 12 (06) : 1050 - 1057
[9] Exact solutions of nonlinear fractional differential equations by (G'/G)-expansion method
Ahmet Bekir
zkan Güner
Chinese Physics B, 2013, (11) : 144 - 149
[10] Exact solutions of nonlinear fractional differential equations by (G′/G)-expansion method
Bekir, Ahmet
Guner, Ozkan
CHINESE PHYSICS B, 2013, 22 (11)

← 1 2 3 4 5 →