Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation

被引：28

作者：

Yaro, David ^{[1
]}

Seadawy, Aly R. ^{[2
,3
]}

Lu, Dianchen ^{[1
]}

Apeanti, Wilson Osafo ^{[1
]}

Akuamoah, Saviour Worlanyo ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Taibah Univ, Math Dept, Fac Sci, Al Madinah Al Munawarah, Saudi Arabia

[3] Beni Suef Univ, Math Dept, Fac Sci, Bani Suwayf, Egypt

来源：

RESULTS IN PHYSICS | 2019年 / 12卷

关键词：

Improved F-expansion method; Modified Riemann-Liouville derivative; Nonlinear space-time fractional equations; Traveling wave; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; SOLITON-SOLUTIONS; DYNAMICAL EQUATION;

D O I：

10.1016/j.rinp.2019.02.005

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we obtain several novelty solutions by applying the improved F-expansion method to solve the space-time fractional Zakhorov Kuznetsov Benjamin Bona Mahony (ZKBBM) equation and the space-time fractional symmetric regularized long wave (SRLW) equation. These two fractional equations have been extensively used to explain numerous forms of physical mechanism in mathematical physics and engineering. The suggested fractional complex transform and the revised Riemann-Liouville derivative is used to change the two equations to its ordinary differential equations. The exact solutions of these equations include hyperbolic and trigonometric solutions has been effectively obtained.

引用

页码：1971 / 1979

页数：9

共 47 条

[11] Compact finite difference method for the fractional diffusion equation [J].