English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Spatial solitons and stability in the one-dimensional and the two-dimensional generalized nonlinear Schrodinger equation with fourth-order diffraction and parity-time-symmetric potentials

MPS-Authors
/persons/resource/persons184771

Mohamadou,  Alidou
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184660

Kofané,  Timoleon Crepin
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource

https://journals.aps.org/pre/pdf/10.1103/PhysRevE.97.032204
(Publisher version)

Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Tiofack, C. G. L., Ndzana, F. H., Mohamadou, A., & Kofané, T. C. (2018). Spatial solitons and stability in the one-dimensional and the two-dimensional generalized nonlinear Schrodinger equation with fourth-order diffraction and parity-time-symmetric potentials. Physical Review E, 97(3): 032204. doi:10.1103/PhysRevE.97.032204.


Cite as: https://hdl.handle.net/21.11116/0000-0001-3A9E-D
Abstract
We investigate the existence and stability of solitons in parity-time (PT)-symmetric optical media characterized by a generic complex hyperbolic refractive index distribution and fourth-order diffraction (FOD). For the linear case, we demonstrate numerically that the FOD parameter can alter the PT-breaking points. For nonlinear cases, the exact analytical expressions of the localized modes are obtained both in one-and two-dimensional nonlinear Schrodinger equations with self-focusing and self-defocusing Kerr nonlinearity. The effect of FOD on the stability structure of these localized modes is discussed with the help of linear stability analysis followed by the direct numerical simulation of the governing equation. Examples of stable and unstable solutions are given. The transverse power flow density associated with these localized modes is also discussed. It is found that the relative strength of the FOD coefficient can utterly change the direction of the power flow, which may be used to control the energy exchange among gain or loss regions.