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
来源：
RESULTS IN PHYSICS | 2018年 / 9卷
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
相关论文
共 44 条
[31]  
Oldman K. B., 1974, The fractional calculus
[32]  
Ortigueira MD, 2011, Fractional calculus for scientists and engineers, V84, DOI 10.1007/978-94-007-0747-4
[33]   An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method [J].
Ray, SS ;
Bera, RK .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 167 (01) :561-571
[34]   On the self-generation of electrical soliton pulses [J].
Ricketts, David S. ;
Li, Xiaofeng ;
Sun, Nan ;
Woo, Kyoungho ;
Ham, Donhee .
IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2007, 42 (08) :1657-1668
[35]   Electrical soliton oscillator [J].
Ricketts, DS ;
Li, XF ;
Ham, D .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2006, 54 (01) :373-382
[36]  
Roshid H.-O., 2014, RESULTS PHYS, V4, P150, DOI DOI 10.1016/J.RINP.2014.07.006
[37]   SOLITON - NEW CONCEPT IN APPLIED SCIENCE [J].
SCOTT, AC ;
CHU, FYF ;
MCLAUGHLIN, DW .
PROCEEDINGS OF THE IEEE, 1973, 61 (10) :1443-1483
[38]   Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations [J].
Sirendaoreji .
PHYSICS LETTERS A, 2007, 363 (5-6) :440-447
[39]   A generalized fractional sub-equation method for fractional differential equations with variable coefficients [J].
Tang, Bo ;
He, Yinnian ;
Wei, Leilei ;
Zhang, Xindong .
PHYSICS LETTERS A, 2012, 376 (38-39) :2588-2590
[40]   Exact solutions of the Biswas-Milovic equation, the ZK(m,n,k) equation and the K(m,n) equation using the generalized Kudryashov method [J].
Zayed, El Sayed M. E. ;
Al-Nowehy, Abdul-Ghani .
OPEN PHYSICS, 2016, 14 (01) :129-139
12345