Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation

被引：12

作者：

Arshad, Muhammad ^{[1
]}

Lu, Dianchen ^{[1
]}

Wang, Jun ^{[1
]}

Abdullah ^{[1
]}

机构：

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

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2018年 / 8卷 / 02期

关键词：

Fractional Sawada-Kotera equation; exact solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; EXP-FUNCTION METHOD; DE-VRIES EQUATION; SYMBOLIC COMPUTATION; ZAKHAROV-KUZNETSOV; SOLITON-SOLUTIONS; SHALLOW-WATER; KDV EQUATION; SERIES; TRANSFORM;

D O I：

10.4208/eajam.090617.231117a

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exact traveling wave solutions of the fifth order space-time fractional Sawada-Kotera equation are derived by generalised exp(-Phi(xi))-expansion and an improved fractional sub-equation method. Among the solutions obtained there are hyperbolic, trigonometric, exponential and rational ones. The methods are simple, efficient and can be applied to other nonlinear problems.

引用

页码：211 / 223

页数：13

共 50 条

[1]

Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering

[2] The investigation of exact solutions of nonlinear partial differential equations by using exp(-Φ(ξ)) method [J].