English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

``Vectorial'' numerical algorithms are proposed for solving the inverse anddirect spectral scattering problems for the nonlinear vector Schroedingerequation, taking into account wave polarization, known as the Manakov system.It is shown that a new algebraic group of 4-block matrices with off-diagonalblocks consisting of special vector-like matrices makes possible thegeneralization of numerical algorithms of the scalar problem to the vectorcase, both for the focusing and defocusing Manakov systems. As in the scalarcase, the solution of the inverse scattering problem consists of inversion ofmatrices of the discretized system of Gelfand-Levitan-Marchenko integralequations using the Toeplitz Inner Bordering algorithm of Levinson's type. Alsosimilar to the scalar case, the algorithm for solving the direct scatteringproblem obtained by inversion of steps of the algorithm for the inversescattering problem. Testing of the vector algorithms performed by comparing theresults of the calculations with the known exact analytical solution (theManakov vector soliton) confirmed the numerical efficiency of the vectoralgorithms.

Efficient algorithms for solving the spectral scattering problems\\ for the Manakov system of nonlinear Schroedinger equations