Travelling Wave Solutions for Fractional Boussinesq Equation Using Modified (G′/G) Expansion Method

被引：5
作者：
Al-Shawba, Altaf A. [1 ]
Abdullah, Farah Aini [1 ]
Azmi, Amirah [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
来源：
PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE | 2018年 / 1974卷
关键词：
Boussinesq equation; fractional derivative equation; modified G '/G expansion method; simulation; DIFFERENTIAL-EQUATIONS;
D O I：
10.1063/1.5041567
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In current study, modified (G'/G)-expansion method is applied to develop the travelling wave solutions for time-space-fractional Boussinesq (TSFB) equation. In this solution, modified Riemann-Liouville derivative will be used together with nonlinear fractional complex transformation. The transformation expression is applied to transform the nonlinear fractional equation into nonlinear ordinary differential equation (NODE). A variety of travelling wave solutions can be produced from this solution which is found to be applicable in physical sciences.
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页数：8
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