View in EDS

Higher eigenmodes of nonlocal gap solitons in parity-time symmetric complex potential with a defocusing nonlinearity.

Saved in:
Bibliographic Details
Title: Higher eigenmodes of nonlocal gap solitons in parity-time symmetric complex potential with a defocusing nonlinearity.
Authors: Suneera, T.P.1 sujansuneera@gmail.com, Subha, P.A.2 pasubha@gmail.com
Source: Chaos, Solitons & Fractals. May2017, Vol. 98, p183-188. 6p.
Subjects: Solitons, Nonlinear theories, Eigenvalues, Perturbation theory, Eigenfrequencies
Abstract: This work analyzes the existence and the stability of the double-hump gap solitons in an inhomogeneous medium having the parity-time ( PT ) symmetric complex potential with defocusing nonlocal nonlinearity. The stationary eigenvalues and the dynamical states have been investigated in the nonlinear regime. For stationary states, it is found that double-hump nonlocal gap solitons exist above a threshold value of energy and spread through two neighboring channels in the PT symmetric region. The power carried by the imaginary component of the double-hump soliton increases with the imaginary part of the complex potential. The total power is invariant with respect to the strength of the imaginary part of the potential and the range of the nonlocality. The power of the soliton increases with the propagation constant or energy. The dynamical states have been investigated. The double-hump soliton exists in the PT symmetric domain whereas dies out in the broken PT symmetric region. Linear stability of the double-hump solitons are studied using Bogoliobov-De-Genes equations. The double-hump solitons are unstable and the perturbation modes vary exponentially. [ABSTRACT FROM AUTHOR]
Copyright of Chaos, Solitons & Fractals is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Description
Abstract:This work analyzes the existence and the stability of the double-hump gap solitons in an inhomogeneous medium having the parity-time ( PT ) symmetric complex potential with defocusing nonlocal nonlinearity. The stationary eigenvalues and the dynamical states have been investigated in the nonlinear regime. For stationary states, it is found that double-hump nonlocal gap solitons exist above a threshold value of energy and spread through two neighboring channels in the PT symmetric region. The power carried by the imaginary component of the double-hump soliton increases with the imaginary part of the complex potential. The total power is invariant with respect to the strength of the imaginary part of the potential and the range of the nonlocality. The power of the soliton increases with the propagation constant or energy. The dynamical states have been investigated. The double-hump soliton exists in the PT symmetric domain whereas dies out in the broken PT symmetric region. Linear stability of the double-hump solitons are studied using Bogoliobov-De-Genes equations. The double-hump solitons are unstable and the perturbation modes vary exponentially. [ABSTRACT FROM AUTHOR]
ISSN:09600779
DOI:10.1016/j.chaos.2017.03.019