NDLI: Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrödinger equation.

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Year: 2017 Volume: 95

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Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrödinger equation.

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Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrödinger equation.

Content Provider	World Health Organization (WHO)-Global Index Medicus
Author	Chen, Yong Yan, Zhenya
Description	Country affiliation: China Author Affiliation: Chen Y ( Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100190, China and University of Chinese Academy of Sciences, Beijing 100049, China.); Yan Z ( Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100190, China and University of Chinese Academy of Sciences, Beijing 100049, China.)
Abstract	The effect of derivative nonlinearity and parity-time-symmetric (PT-symmetric) potentials on the wave propagation dynamics is explored in the derivative nonlinear Schrödinger equation, where the physically interesting Scarf-II and harmonic-Hermite-Gaussian potentials are chosen. We study numerically the regions of unbroken and broken linear PT-symmetric phases and find some stable bright solitons of this model in a wide range of potential parameters even though the corresponding linear PT-symmetric phases are broken. The semielastic interactions between particular bright solitons and exotic incident waves are illustrated such that we find that particular nonlinear modes almost keep their shapes after interactions even if the exotic incident waves have evidently been changed. Moreover, we exert the adiabatic switching on PT-symmetric potential parameters such that a stable nonlinear mode with the unbroken linear PT-symmetric phase can be excited to another stable nonlinear mode belonging to the broken linear PT-symmetric phase.
File Format	HTM / HTML
ISSN	24700045
e-ISSN	24700053
Journal	Physical Review E
Issue Number	1-1
Volume Number	95
Language	English
Publisher	American Physical Society
Publisher Date	2017-01-01
Publisher Place	United States
Access Restriction	Open
Subject Keyword	Statistical and Nonlinear Physics many-body systems Condensed Matter Physics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistical and Nonlinear Physics Condensed Matter Physics

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