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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageBritish English
Article number128611
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume459
DOIs
StatePublished - 29 Jan 2023

Keywords

  • Nonlocal nonlinear Schrödinger equation
  • PT-symmetric solitons
  • Transparent boundary conditions

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