Interactions of Bragg Solitons in a Semilinear Coupler with Separated Grating and Cubic-Quintic Nonlinearity

We study the stability characteristics of zero-velocity gap solitons in dual-core Bragg gratings with cubic-quintic nonlinearity and dispersive reflectivity. The model supports two disjointed families of gap solitons (Type 1 and Type 2). Additionally, asymmetric and symmetric solitons exist in both Type 1 and Type 2 families. A comprehensive numerical stability analysis is performed to analyze the stability of solitons. It is found that dispersive reflectivity improves the stability of both types of solitons. Nontrivial stability boundaries have been identified within the bandgap for each family of solitons. The effects and interplay of dispersive reflectivity and the coupling coefficient on the stability regions are also analyzed.

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Generation of Tunable Necklace-Pattern Solitons in Two-Dimensional Dissipative System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.339.645 ◽

2013 ◽

Vol 339 ◽

pp. 645-650

Author(s):

Bin Liu ◽

Shu Jing Li ◽

Lin Ting Ma

Keyword(s):

Landau Equation ◽

Dissipative System ◽

Gaussian Pulse ◽

Two Dimensional ◽

Balance Equations ◽

Ginzburg Landau ◽

Quintic Nonlinearity ◽

Elliptical Ring ◽

Energy And Momentum ◽

Triangular Ring

We obtain necklace-pattern solitons (NPSs) from the same-pattern initial Gaussian pulse modulated by alternating azimuthal phase sections (AAPSs) of out-phase based on the two-dimensional (2D) complex Ginzburg-Landau equation with the cubic-quintic nonlinearity. The initial radially symmetrical Gaussian pulse can evolves into general necklace-rings solitons (NRSs). The number and distribution of pearls is tunable by adjusting sections-number and sections-distribution of AAPSs. In addition, we study the linear increased relationship between size of initial pulses and ring-radii of NRSs. Moreover, we predict the number-threshold of pearls in theoretical analysis by using of balance equations for energy and momentum. Final, we extend the research results to obtain arbitrary NPSs, such as elliptical ring, triangular-ring, and pentagonal ring.

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Exact optical solitons in metamaterials with cubic–quintic nonlinearity and third-order dispersion

Nonlinear Dynamics ◽

10.1007/s11071-015-1948-x ◽

2015 ◽

Vol 80 (3) ◽

pp. 1365-1371 ◽

Cited By ~ 64

Author(s):

Qin Zhou ◽

Lan Liu ◽

Yaxian Liu ◽

Hua Yu ◽

Ping Yao ◽

...

Keyword(s):

Optical Solitons ◽

Third Order ◽

Quintic Nonlinearity ◽

Third Order Dispersion ◽

Order Dispersion

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Swift-Hohenberg equation with broken cubic-quintic nonlinearity

Physical Review E ◽

10.1103/physreve.84.016204 ◽

2011 ◽

Vol 84 (1) ◽

Cited By ~ 22

Author(s):

S. M. Houghton ◽

E. Knobloch

Keyword(s):

Quintic Nonlinearity

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Analytical Study of Combo-Solitons in Optical Metamaterials with Cubic-Quintic Nonlinearity

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2015.4515 ◽

2015 ◽

Vol 12 (12) ◽

pp. 5278-5282 ◽

Cited By ~ 1

Author(s):

Qin Zhou ◽

Qiuping Zhu ◽

Yaxian Liu ◽

Hua Yu ◽

Zhengnan Wu ◽

...

Keyword(s):

Analytical Study ◽

Optical Metamaterials ◽

Quintic Nonlinearity

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Bistable Solitons in Single- and Multichannel Waveguides with the Cubic-Quintic Nonlinearity

Theoretical and Mathematical Physics ◽

10.1007/s11232-005-0156-0 ◽

2005 ◽

Vol 144 (2) ◽

pp. 1246-1246

Author(s):

B. V. Gisin ◽

R. Driben ◽

B. A. Malomed ◽

I. M. Merhasin

Keyword(s):

Quintic Nonlinearity

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Stable high dimensional solitons in nonlocal competing cubic-quintic nonlinear media

Communications in Theoretical Physics ◽

10.1088/1572-9494/ac42c1 ◽

2021 ◽

Author(s):

Qiying Zhou ◽

Hui-jun Li

Keyword(s):

Propagation Constant ◽

Nonlinear Coefficient ◽

High Dimensional ◽

Cubic Nonlinearity ◽

Nonlinear Media ◽

Nonlinear Modes ◽

Quintic Nonlinearity ◽

The Stability

Abstract We find and stabilize high dimensional dipole and quadrupole solitons in nonlocal competing cubic-quintic nonlinear media. By adjusting the propagation constant, cubic and quintic nonlinear coefficients, the stable intervals for dipole and quadrupole solitons which are parallel to $x$ axis and ones after rotating 45 degrees counterclockwise around the origin of coordinate are found. For the dipole solitons and ones after rotating, their stability is controlled by the propagation constant, the coefficients of cubic and quintic nonlinearity. For the quadrupole solitons, their stability is controlled by the propagation constant and the coefficient of cubic nonlinearity, rather than the coefficient of quintic nonlinearity, though there is a small effect of the quintic nonlinear coefficient on the stability. Our proposal may provide a way to generate and stabilize some novel high dimensional nonlinear modes in nonlocal system.

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