New exact travelling wave solutions for space-time fractional nonlinear equations describing nonlinear transmission lines

被引:39
作者
Abdou, M. A. [1 ,2 ]
Soliman, A. A. [3 ,4 ]
机构
[1] Univ Bisha, Fac Sci, Phys Dept, POB 344, Bisha 61922, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Phys Dept, Theoret Res Grp, Mansoura 35516, Egypt
[3] Univ Bisha, Coll Sci, Dept Math, POB 344, Bisha 61922, Saudi Arabia
[4] Arish Univ, Fac Sci, Dept Math, Al Arish 45111, Egypt
关键词
Fractional calculus; Fractional complex transform; Nonlinear low-pass electrical lines; The exp(-phi(xi))-expansion function method; Kudryashov method; Exact solutions; DIFFERENTIAL-EQUATIONS; SOLITON;
D O I
10.1016/j.rinp.2018.04.031
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we examines the effectiveness of newly developed algorithms called the exp(-phi(xi))-expansion function method and generalized Kudryashov method for constructing new and important travelling wave solutions of space-time fractional nonlinear differential equations. The fractional differential equation is converted into ordinary differential equations with the help of fractional complex transform and the modified Riemann Liouville derivative sense. The validity and reliability the proposed methods are tested by its applications it for describe the nonlinear low-pass electrical transmission lines and pulse narrowing nonlinear transmission lines respectively.
引用
收藏
页码:1497 / 1501
页数:5
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