Soliton solutions and conservation laws for lossy nonlinear transmission line equation

被引：126

作者：

Tchier, Fairouz ^{[1
]}

Yusuf, Abdullahi ^{[2
,3
]}

Aliyu, Aliyu Isa ^{[2
,3
]}

Inc, Mustafa ^{[2
]}

机构：

[1] King Saud Univ, Dept Appl Math, POB 22452, Riyadh 11495, Saudi Arabia

[2] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

[3] Fed Univ Dutse, Sci Fac, Dept Math, PMB 7156, Jigawa, Nigeria

来源：

SUPERLATTICES AND MICROSTRUCTURES | 2017年 / 107卷

关键词：

NLTLs; Symmetries; RB sub-ODE; Nonlinear self-adjointness and Cls; (G'/G)-EXPANSION METHOD; EVOLUTION-EQUATIONS; WAVE SOLUTIONS;

D O I：

10.1016/j.spmi.2017.04.003

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

In this article, the Lie symmetry and Ricatti-Bernoulli (RB) sub-ODE method are applied to obtain soliton solutions for nonlinear transmission line equation (NLTLs). The NLTLs is defined to be a structure whereby a short-duration pulses known as electrical solitons can be invented and disseminated. We compute conservation laws (Cls) via a non-linear selfadjointness approach. A suitable substitution for NLTLs is found and the obtained substitution makes the NLTLs equation a non-linearly self-adjoint. We establish Cls for NLTLs equation by the new Cls theorem presented by Ibragimov. We obtain trigonometric, algebraic and soliton solutions. The obtained solutions can be useful for describing the concentrations of transmission lines problems, for NLTLs. The parameters of the transmission line play a significant role in managing the original form of the soliton. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：320 / 336

页数：17

共 35 条

[1] Nonlinear transmission lines for pulse shaping in silicon [J].

Afshari, E ;

Hajimiri, A .

IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2005, 40 (03) :744-752

[2] Optical and other solitons for the fourth-order dispersive nonlinear Schrodinger equation with dual-power law nonlinearity [J].

Al Qurashi, Maysaa Mohamed ;

Yusuf, Abdullahi ;

Aliyu, Aliyu Isa ;

Inc, Mustafa .

SUPERLATTICES AND MICROSTRUCTURES, 2017, 105 :183-197

[3] Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients [J].

Ali, S. ;

Rizvi, S. T. R. ;

Younis, M. .

NONLINEAR DYNAMICS, 2015, 82 (04) :1755-1762

[4]

Dimas S, 2005, P 10 INT C MOD GROUP, P64

[5] Applications of the Jacobi elliptic function method to special-type nonlinear equations [J].

Fan, EG ;

Zhang, H .

PHYSICS LETTERS A, 2002, 305 (06) :383-392

[6] OPTICAL SOLITONS WITH HIGHER ORDER DISPERSION BY SEMI-INVERSE VARIATIONAL PRINCIPLE [J].

Green, P. D. ;

Milovic, D. ;

Lott, D. A. ;

Biswas, A. .

PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2010, 102 :337-350

[7] Ordered and chaotic electrical solitons: Communication perspectives [J].

Ham, Donhee ;

Li, Xiaofeng ;

Denenberg, Scott A. ;

Lee, Thomas H. ;

Ricketts, David S. .

IEEE COMMUNICATIONS MAGAZINE, 2006, 44 (12) :126-135

[8]

Ibragimov N., 2011, ARCH ALGA, V90

[9] Nonlinear self-adjointness and conservation laws [J].

Ibragimov, N. H. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (43)

[10]

Ibragimov N. H., 2011, ARCH ALGA, V44

← 1 2 3 4 →