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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