Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons

M.E Akramov,J.R Yusupov,M Ehrhardt,H Susanto,D.U Matrasulov

doi:10.1016/j.physleta.2022.128611

Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons

M.E Akramov, J.R Yusupov + Show 3 more

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https://doi.org/10.1016/j.physleta.2022.128611

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Journal: Physics Letters A	Publication Date: Jan 1, 2023
Citations: 1

Affiliation: Turin Polytechnic University, University of Wuppertal, National University of Uzbekistan, Khalifa University of Science and Technology

#Transparent Boundary Conditions #Propagation Of Solitons + Show 8 more

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Abstract

We consider the problem of reflectionless propagation of PT-symmetric solitons described by the nonlocal nonlinear Schrödinger equation on a line in the framework of the concept of transparent boundary conditions for evolution equations. Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation are derived. The absence of backscattering at the artificial boundaries is confirmed by the numerical implementation of the transparent boundary conditions.

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