Analytical and soliton solutions: Nonlinear model of nanobioelectronics transmission lines

被引:32
作者
Younis, Muhammad [1 ]
Rizvi, Syed Tahir Raza [2 ]
Ali, Safdar [3 ]
机构
[1] Univ Punjab, Ctr Undergrad Studies, Lahore 54590, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Lahore, Pakistan
[3] Minhaj Univ, Dept Math, Lahore, Pakistan
关键词
Analytical solutions; Bright solitons; Dark solitons; Singular solitons; Nanobioelectronics transmission lines model; DEPENDENT COEFFICIENTS; WAVE EQUATIONS; KDV EQUATION; DYNAMICS;
D O I
10.1016/j.amc.2015.05.121
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, analytical solutions and different types of soliton envelopes: bright, dark and singular for the nonlinear model, namely, nanobioelectronics transmission lines have been constructed along with constrained conditions. The modified extended tanh-function method and exp-function method have been used to find analytical solutions, and while solitary wave ansatz is used to construct these soliton solutions. Additionally, the constraint conditions, for the existence of the soliton solutions are also listed. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:994 / 1002
页数:9
相关论文
共 23 条
[1]   Bright and dark soliton solutions for variable-coefficient diffusion-reaction and modified Korteweg-de Vries equations [J].
Bekir, Ahmet ;
Aksoy, Esin ;
Guner, Ozkan .
PHYSICA SCRIPTA, 2012, 85 (03)
[2]   1-Soliton solution of the coupled KdV equation and Gear-Grimshaw model [J].
Biswas, Anjan ;
Ismail, M. S. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (12) :3662-3670
[3]  
Daga I., 2008, APPL MATH MED, V32, P535
[4]  
Franteeskakis D.J., 2013, ADV OPTIC TECH, V2013
[5]   Dark solitons in atomic Bose-Einstein condensates: from theory to experiments [J].
Frantzeskakis, D. J. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (21)
[6]  
GLOCKLE WG, 1995, BIOPHYS J, V68, P46, DOI 10.1016/S0006-3495(95)80157-8
[7]   Exp-function method for nonlinear wave equations [J].
He, Ji-Huan ;
Wu, Xu-Hong .
CHAOS SOLITONS & FRACTALS, 2006, 30 (03) :700-708
[8]   Modified simple equation method for nonlinear evolution equations [J].
Jawad, Anwar Ja'afar Mohamad ;
Petkovic, Marko D. ;
Biswas, Anjan .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :869-877
[9]   Soliton solutions of a few nonlinear wave equations [J].
Jawad, Anwar Ja'afar Mohamad ;
Petkovic, Marko D. ;
Biswas, Anjan .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) :2649-2658
[10]   Exact solutions of KdV equation with time-dependent coefficients [J].
Johnpillai, A. G. ;
Khalique, C. M. ;
Biswas, Anjan .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) :3114-3119