A novel fourth-order difference scheme for the direct zakharov-shabat problem

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

The numerical implementation of the nonlinear Fourier transformation (NFT) for the nonlinear Shrodinger equation (NLSE) requires effective numerical algorithms for each stage of the method. The very first step in this scheme is the solution of the direct scattering problem for the Zakharov-Shabat system. One of the most efficient methods for the solution of this problem is the second-order Boffetta-Osborne algorithm [1]. A review of numerical methods for direct NFT associated with the focusing NLSE is presented in [2]. Among the methods considered in this paper only the Runge-Kutta method is of fourth order of approximation. However, the application of the Runge-Kutta method is limited by the potentials specified analytically. The NFT algorithms of higher order presented recently in [3] require special nonuniform distribution of the signal.

Язык оригиналаанглийский
Название основной публикации2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
ИздательInstitute of Electrical and Electronics Engineers Inc.
ISBN (электронное издание)9781728104690
DOI
СостояниеОпубликовано - 1 июн 2019
Событие2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 - Munich, Германия
Продолжительность: 23 июн 201927 июн 2019

Серия публикаций

Название2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019

Конференция

Конференция2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
СтранаГермания
ГородMunich
Период23.06.201927.06.2019

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Medvedev, S. B., Vaseva, I. A., Chekhovskoy, I. S., & Fedoruk, M. P. (2019). A novel fourth-order difference scheme for the direct zakharov-shabat problem. В 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 [8872769] (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CLEOE-EQEC.2019.8872769