Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT -symmetric potentials

Zichao Wen; Zhenya Yan

doi:10.1063/1.4982972

Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT -symmetric potentials

Zichao Wen, Zhenya Yan

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schrödinger equation with the generalized PT -symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT -symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters.

Original language	English
Article number	053105
Journal	Chaos
Volume	27
Issue number	5
DOIs	https://doi.org/10.1063/1.4982972
State	Published - May 1 2017

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title = "Solitons and their stability in the nonlocal nonlinear Schr{\"o}dinger equation with PT -symmetric potentials",

abstract = "We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schr{\"o}dinger equation with the generalized PT -symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT -symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters.",

author = "Zichao Wen and Zhenya Yan",

note = "Funding Information: The authors thank the referees for their valuable comments and suggestions. This work was partially supported by the NSFC under Grant Nos. 11571346 and 61621003 and the Youth Innovation Promotion Association CAS.",

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Y1 - 2017/5/1

N2 - We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schrödinger equation with the generalized PT -symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT -symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters.

AB - We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schrödinger equation with the generalized PT -symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT -symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters.

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Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT -symmetric potentials

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