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

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