Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions

K K Sabirov; J R Yusupov; M M Aripov; M Ehrhardt; D U Matrasulov

doi:10.1103/PhysRevE.103.043305

Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions

Phys Rev E. 2021 Apr;103(4-1):043305. doi: 10.1103/PhysRevE.103.043305.

Authors

K K Sabirov^{1

2}, J R Yusupov³, M M Aripov⁴, M Ehrhardt⁵, D U Matrasulov^{3

6}

Affiliations

¹ Tashkent University of Information Technologies, Algorithms and Mathematical Modeling, 108 Amir Temur Street, Tashkent 100200, Uzbekistan.
² Tashkent State Technical University, Higher Mathematics, 2 Universitet Street, Tashkent 100095, Uzbekistan.
³ Yeoju Technical Institute in Tashkent, 156 Usman Nasyr Street, Tashkent 100121, Uzbekistan.
⁴ National University of Uzbekistan, Applied Mathematics and Computer Analysis, 2 Universitet Street, Tashkent 100095, Uzbekistan.
⁵ Bergische Universität Wuppertal, Applied Mathematics and Numerical Analysis, Gaußstrasse 20, 42119 Wuppertal, Germany.
⁶ Turin Polytechnic University in Tashkent, Laboratory for Advanced Studies, 17 Niyazov Street, Tashkent 100095, Uzbekistan.

PMID: 34005995
DOI: 10.1103/PhysRevE.103.043305

Abstract

We consider the problem of the absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflectionless propagation of Manakov vector solitons in a one-dimensional domain. Artificial boundary conditions that ensure the absence of backscattering are derived and their numerical implementation is demonstrated.