Optical solitons in nonlinear directional couplers by sine-cosine function method and Bernoulli's equation approach

被引：207

作者：

Mirzazadeh, Mohammad ^{[1
]}

Eslami, Mostafa ^{[2
]}

Zerrad, Essaid ^{[3
]}

Mahmood, Mohammad F. ^{[4
]}

Biswas, Anjan ^{[5
,6
]}

Belic, Milivoj ^{[7
]}

机构：

[1] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[3] Delaware State Univ, Dept Phys & Engn, Dover, DE 19901 USA

[4] Howard Univ, Dept Math, Washington, DC 20059 USA

[5] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[6] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[7] Texas A&M Univ, Sci Program, Doha, Qatar

来源：

NONLINEAR DYNAMICS | 2015年 / 81卷 / 04期

关键词：

Solitons; Integrability; Couplers; TIME-DEPENDENT COEFFICIENTS; SCHRODINGERS EQUATION; DISPERSION; APPROXIMATION; SYSTEM;

D O I：

10.1007/s11071-015-2117-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper obtains soliton solutions to optical couplers by two methods. These are sine-cosine function method and Bernoulli's equation approach. There are four laws that are touched upon in this paper. These are Kerr law, power law, parabolic law and dual-power law. The first integration scheme is applicable to Kerr and power laws only where bright soliton solutions are retrievable. The second tool is applicable to parabolic and dual-power laws only that leads to dark and singular solitons for these two nonlinear media.

引用

页码：1933 / 1949

页数：17

共 50 条

[1]

Alshaery AA, 2014, J OPTOELECTRON ADV M, V16, P750

[2] A new Legendre operational technique for delay fractional optimal control problems [J].

Bhrawy, A. H. ;

Ezz-Eldien, S. S. .

CALCOLO, 2016, 53 (04) :521-543

[3] Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation [J].

Bhrawy, A. H. ;

Zaky, M. A. .

NONLINEAR DYNAMICS, 2015, 80 (1-2) :101-116

[4] A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations [J].

Bhrawy, A. H. ;

Zaky, M. A. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 281 :876-895

[5] An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system [J].

Bhrawy, A. H. .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 :30-46

[6] Dispersion-managed solitons in optical couplers [J].

Biswas, A .

JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2003, 12 (01) :45-74

[7] Theory of optical couplers [J].

Biswas, A .

OPTICAL AND QUANTUM ELECTRONICS, 2003, 35 (03) :221-235

[8] Solitons in multiple-core couplers [J].

Biswas, A .

JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2001, 10 (03) :329-335

[9] Optical Gaussons in nonlinear directional couplers [J].

Biswas, Anjan ;

Lott, Dawn A. ;

Sutton, Brielle ;

Khan, Kaisar R. ;

Mahmood, Mohammad F. .

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2013, 27 (15) :1976-1985

[10] An ultracompact optical directional coupler based on lithium niobate photonic wires [J].

Chen, Ming ;

Liu, Zichen ;

Lu, Rong ;

Yang, Yi ;

Liang, Meng ;

Tang, Tian-tong .

OPTIK, 2013, 124 (14) :1974-1976

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