Optical solitons and conservation laws with quadratic-cubic nonlinearity

被引：141

作者：

Triki, Houria ^{[1
]}

Biswas, Anjan ^{[2
,3
]}

Moshokoa, Seithuti P. ^{[2
]}

Belic, Milivoj ^{[4
]}

机构：

[1] Badji Mokhtar Univ, Fac Sci, Dept Phys, Radiat Phys Lab, POB 12, Annaba 23000, Algeria

[2] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 80203, Saudi Arabia

[4] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar

来源：

OPTIK | 2017年 / 128卷

关键词：

Solitons; Conservation laws; Traveling waves; DISPERSIVE DIELECTRIC FIBERS; SCHRODINGERS EQUATION; TRANSMISSION; PULSES;

D O I：

10.1016/j.ijleo.2016.10.010

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We consider an extended nonlinear Schrodinger equation with competing quadratic-cubic nonlinearity. The model appears as an approximate form of a relatively dense quasi-one-dimensional Bose-Einstein condensate with repulsive contact interactions between atoms and a long-range dipole-dipole attraction between them. Exact analytical soliton solutions for the model are derived by utilizing the method of undetermined coefficients. The solutions comprise bright, dark, and singular solitons. Furthermore, we present a new structure which describes the evolution of two different type solitons in the form of W-shaped soli ton solution and a bright soliton solution on a continuous-wave background. The constraint conditions for the existence of these solutions are also exhibited. The numerical evolution of the obtained solutions is also presented. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：63 / 70

页数：8

共 16 条

[1]

Ablowitz Mark J., 1981, Solitions and the Inverse Scattering Transform

[2]

[Anonymous], 2003, Optical Solitons

[3] Reorientational versus Kerr dark and gray solitary waves using modulation theory [J].

Assanto, Gaetano ;

Marchant, T. R. ;

Minzoni, Antonmaria A. ;

Smyth, Noel F. .

PHYSICAL REVIEW E, 2011, 84 (06)

[4]

Biswas A., 2006, Introduction to Non-Kerr Law Optical solitons

[5] 1-soliton solution of (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media [J].

Biswas, Anjan .

PHYSICS LETTERS A, 2008, 372 (38) :5941-5943

[6] OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRODINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE [J].

Biswas, Anjan ;

Milovic, Daniela ;

Savescu, Michelle ;

Mahmood, Mohammad F. ;

Khan, Kaisar R. ;

Kohl, Russell .

JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2012, 21 (04)

[7] Bright and dark solitons of the generalized nonlinear Schrodinger's equation [J].

Biswas, Anjan ;

Milovic, Daniela .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (06) :1473-1484

[8] Chaotic solitons in the quadratic-cubic nonlinear Schrodinger equation under nonlinearity management [J].

Fujioka, J. ;

Cortes, E. ;

Perez-Pascual, R. ;

Rodriguez, R. F. ;

Espinosa, A. ;

Malomed, B. A. .

CHAOS, 2011, 21 (03)

[9] TRANSMISSION OF STATIONARY NONLINEAR OPTICAL PULSES IN DISPERSIVE DIELECTRIC FIBERS .1. ANOMALOUS DISPERSION [J].

HASEGAWA, A ;

TAPPERT, F .

APPLIED PHYSICS LETTERS, 1973, 23 (03) :142-144

[10] TRANSMISSION OF STATIONARY NONLINEAR OPTICAL PULSES IN DISPERSIVE DIELECTRIC FIBERS .2. NORMAL DISPERSION [J].

HASEGAWA, A ;

TAPPERT, F .

APPLIED PHYSICS LETTERS, 1973, 23 (04) :171-172

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