Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions
K.K. SabirovTashkent State Technical University, Higher Mathematics, 2 Universitet Street, Tashkent 100095, UzbekistanJambul YusupovYeoju Technical Institute in Tashkent, 156 Usman Nasyr Street, Tashkent 100121, UzbekistanМерсаид АриповNational University of Uzbekistan, Applied Mathematics and Computer Analysis, 2 Universitet Street, Tashkent 100095, UzbekistanMatthias EhrhardtBergische Universität Wuppertal, Applied Mathematics and Numerical Analysis, Gaußstrasse 20, 42119 Wuppertal, GermanyD. U. MatrasulovTurin Polytechnic University in Tashkent, Laboratory for Advanced Studies, 17 Niyazov Street, Tashkent 100095, Uzbekistan
ABI
Аннотация
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.
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