Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials

Under parity-time symmetric potentials, different-order nonlinearities such as cubic, quintic and septimal nonlinearities, altogether with their combinations and second-order and fourth-order dispersions/diffractions are simultaneously considered to form three-dimensional optical solitons. Based on...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2019-10, Vol.98 (1), p.489-499
Main Authors: Dai, Chao-Qing, Fan, Yan, Wang, Yue-Yue
Format: Article
Language:English
Subjects:
Atmospheric pressure
Automotive Engineering
Classical Mechanics
Collapse
Control
Criticism
Defocusing
Diffraction
Dimensional stability
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear analysis
Nonlinear equations
Nonlinearity
Original Paper
Parity
Schrodinger equation
Solitary waves
Three dimensional analysis
Vibration
Wind shear
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Under parity-time symmetric potentials, different-order nonlinearities such as cubic, quintic and septimal nonlinearities, altogether with their combinations and second-order and fourth-order dispersions/diffractions are simultaneously considered to form three-dimensional optical solitons. Based on some high-order nonlinear Schrödinger equations, three-dimensional analytical optical soliton solutions are found. In the defocusing cubic nonlinear case, three-dimensional optical soliton without fourth-order diffraction/dispersion is stable than that with fourth-order diffraction/dispersion. However, in the defocusing cubic and focusing quintic nonlinear case, the stability situation of soliton is just on the contrary. Among all combinations of nonlinearity, the stability of three-dimensional optical soliton in the cubic-quintic nonlinear case is better than that in the cubic nonlinear case, but worse than that in the cubic-quintic-septimal nonlinear case. In the quintic-septimal nonlinear case, three-dimensional optical soliton is unstable and will collapse ultimately.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-019-05206-z