Szczegóły publikacji
Opis bibliograficzny
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach / Jan L. Cieśliński, Anatolij K. PRYKARPATSKI // Journal of Mathematical Analysis and Applications ; ISSN 0022-247X. — 2015 — vol. 430 iss. 1, s. 279–295. — Bibliogr. s. 294–295, Abstr. — Publikacja dostępna online od: 2015-04-29
Autorzy (2)
- Cieśliński Jan L.
- AGHPrykarpatsky Anatolij
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 95513 |
|---|---|
| Data dodania do BaDAP | 2016-01-20 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jmaa.2015.04.084 |
| Rok publikacji | 2015 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Mathematical Analysis and Applications |
Abstract
We investigate discretizations of the integrable discrete nonlinear Schrodinger dynamical system and related symplectic structures. We develop an effective scheme of invariant reducing the corresponding infinite system of ordinary differential equations to an equivalent finite system of ordinary differential equations with respect to the evolution parameter. We construct a finite set of recurrent algebraic regular relations allowing to generate solutions of the discrete nonlinear Schrodinger dynamical system and we discuss the related functional spaces of solutions. Finally, we discuss the Fourier transform approach to studying the solution set of the discrete nonlinear Schriodinger dynamical system and its functional analytical aspects.
