Solitons in PT-symmetric potential with competing nonlinearity

Avinash Khare; S. M. Al-Marzoug; Hocine Bahlouli

doi:10.1016/j.physleta.2012.09.047

Solitons in PT-symmetric potential with competing nonlinearity

Avinash Khare
, S. M. Al-Marzoug^*
, Hocine Bahlouli

^*Corresponding author for this work

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

72 Scopus citations

Abstract

We investigate the effect of competing nonlinearities on beam dynamics in PT-symmetric potentials. In particular, we consider the stationary nonlinear Schrödinger equation (NLSE) in one dimension with competing cubic and generalized nonlinearity in the presence of a PT-symmetric potential. Closed form solutions for localized states are obtained. These solitons are shown to be stable over a wide range of potential parameters. The transverse power flow associated with these complex solitons is also examined.

Original language	English
Pages (from-to)	2880-2886
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Issue number	45
DOIs	https://doi.org/10.1016/j.physleta.2012.09.047
State	Published - 1 Oct 2012

Bibliographical note

Funding Information:
Two of the authors S.M. and H.B. acknowledge the support of King Fahd University of Petroleum and Minerals under our research group projects RG1217-1 & RG1217-2 .

Keywords

Competing nonlinearities
PT-symmetric
Solitons

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2012.09.047

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title = "Solitons in PT-symmetric potential with competing nonlinearity",

abstract = "We investigate the effect of competing nonlinearities on beam dynamics in PT-symmetric potentials. In particular, we consider the stationary nonlinear Schr{\"o}dinger equation (NLSE) in one dimension with competing cubic and generalized nonlinearity in the presence of a PT-symmetric potential. Closed form solutions for localized states are obtained. These solitons are shown to be stable over a wide range of potential parameters. The transverse power flow associated with these complex solitons is also examined.",

keywords = "Competing nonlinearities, PT-symmetric, Solitons",

author = "Avinash Khare and Al-Marzoug, \{S. M.\} and Hocine Bahlouli",

note = "Funding Information: Two of the authors S.M. and H.B. acknowledge the support of King Fahd University of Petroleum and Minerals under our research group projects RG1217-1 \& RG1217-2 .",

year = "2012",

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doi = "10.1016/j.physleta.2012.09.047",

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T1 - Solitons in PT-symmetric potential with competing nonlinearity

AU - Khare, Avinash

AU - Al-Marzoug, S. M.

AU - Bahlouli, Hocine

N1 - Funding Information: Two of the authors S.M. and H.B. acknowledge the support of King Fahd University of Petroleum and Minerals under our research group projects RG1217-1 & RG1217-2 .

PY - 2012/10/1

Y1 - 2012/10/1

N2 - We investigate the effect of competing nonlinearities on beam dynamics in PT-symmetric potentials. In particular, we consider the stationary nonlinear Schrödinger equation (NLSE) in one dimension with competing cubic and generalized nonlinearity in the presence of a PT-symmetric potential. Closed form solutions for localized states are obtained. These solitons are shown to be stable over a wide range of potential parameters. The transverse power flow associated with these complex solitons is also examined.

AB - We investigate the effect of competing nonlinearities on beam dynamics in PT-symmetric potentials. In particular, we consider the stationary nonlinear Schrödinger equation (NLSE) in one dimension with competing cubic and generalized nonlinearity in the presence of a PT-symmetric potential. Closed form solutions for localized states are obtained. These solitons are shown to be stable over a wide range of potential parameters. The transverse power flow associated with these complex solitons is also examined.

KW - Competing nonlinearities

KW - PT-symmetric

KW - Solitons

UR - https://www.scopus.com/pages/publications/84868097299

U2 - 10.1016/j.physleta.2012.09.047

DO - 10.1016/j.physleta.2012.09.047

M3 - Article

AN - SCOPUS:84868097299

SN - 0375-9601

VL - 376

SP - 2880

EP - 2886

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 45

ER -

Solitons in PT-symmetric potential with competing nonlinearity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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