Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method

被引：30

作者：

Shakeel, Muhammad ^{[1
]}

Ul-Hassan, Qazi Mahmood ^{[1
]}

Ahmad, Jamshad ^{[1
]}

Naqvi, Tauseef ^{[1
]}

机构：

[1] HITEC Univ Taxila Cantt, Dept Math, Fac Sci, Taxila 47080, Pakistan

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2014年 / 2014卷

关键词：

EXTENDED TANH METHOD; EXP-FUNCTION METHOD; NONLINEAR EVOLUTION; COMPLEX TRANSFORM; WAVE SOLUTIONS; F-EXPANSION;

D O I：

10.1155/2014/181594

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The fractional derivatives are used in the sense modified Riemann-Liouville to obtain exact solutions for BBM-Burger equation of fractional order. This equation can be converted into an ordinary differential equation by using a persistent fractional complex transform and, as a result, hyperbolic function solutions, trigonometric function solutions, and rational solutions are attained. The performance of the method is reliable, useful, and gives newer general exact solutions with more free parameters than the existing methods. Numerical results coupled with the graphical representation completely reveal the trustworthiness of the method.

引用

页数：15

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