Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method

V. M. Adukov*, G. Mishuris

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

59 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We are revisiting the problem of solving a discrete nonlinear Schrödinger equation by the inverse scattering transform method, by use of the recently developed ExactMPF package within MAPLE Software. ExactMPF allows for an exact Wiener-Hopf factorization of matrix polynomials regardless of the partial indices of the matrix. The package can be widely used in various problems, where Wiener-Hopf factorization as one of the effective mathematical tools is required, as its code has already been disclosed. The analysis presented in this paper contains not only numerical examples of its use, but is also supported by appropriate and accurate a priori estimations. The procedure itself guarantees that the ExactMPF package produces all computations arithmetically exactly, and a detailed numerical analysis of various aspects of the computational algorithm and approximation strategies is provided in the case of a finite initial impulse.

Iaith wreiddiolSaesneg
Rhif yr erthygl20220144
Nifer y tudalennau25
CyfnodolynProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Cyfrol479
Rhif cyhoeddi2269
Dyddiad ar-lein cynnar18 Ion 2023
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 25 Ion 2023

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