@article{dfd50435098f4537aae27884492d0e43,

title = "Transparent boundary conditions for the nonlocal nonlinear Schr{\"o}dinger equation: A model for reflectionless propagation of PT-symmetric solitons",

abstract = "We consider the problem of reflectionless propagation of PT-symmetric solitons described by the nonlocal nonlinear Schr{\"o}dinger equation on a line in the framework of the concept of transparent boundary conditions for evolution equations. Transparent boundary conditions for the nonlocal nonlinear Schr{\"o}dinger equation are derived. The absence of backscattering at the artificial boundaries is confirmed by the numerical implementation of the transparent boundary conditions.",

keywords = "Nonlocal nonlinear Schr{\"o}dinger equation, PT-symmetric solitons, Transparent boundary conditions",

author = "Akramov, {M. E.} and Yusupov, {J. R.} and M. Ehrhardt and H. Susanto and Matrasulov, {D. U.}",

note = "Funding Information: The work is supported by the grant of the Ministry for Innovation Development of Uzbekistan (Ref. No. F-2021-440). One of the authors (DM) thanks the Associates Program of the Abdus Salam ICTP for his hospitality during his visit. H.S. also acknowledges support from Khalifa University through a Faculty Start-Up Grant (No. 8474000351/FSU-2021-011). Funding Information: The work is supported by the grant of the Ministry for Innovation Development of Uzbekistan (Ref. No. F-2021-440 ). One of the authors (DM) thanks the Associates Program of the Abdus Salam ICTP for his hospitality during his visit. H.S. also acknowledges support from Khalifa University through a Faculty Start-Up Grant (No. 8474000351/FSU-2021-011 ). Publisher Copyright: {\textcopyright} 2023 Elsevier B.V.",

year = "2023",

month = jan,

day = "29",

doi = "10.1016/j.physleta.2022.128611",

language = "British English",

volume = "459",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

}