Szczegóły publikacji
Opis bibliograficzny
Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations / Oleg I. MOROZOV // Journal of Geometry and Physics ; ISSN 0393-0440. — 2018 — vol. 128, s. 20–31. — Bibliogr. s. 31, Abstr. — Publikacja dostępna online od: 2018-02-15
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 114294 |
|---|---|
| Data dodania do BaDAP | 2018-08-09 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.geomphys.2018.02.007 |
| Rok publikacji | 2018 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Geometry and Physics |
Abstract
The important unsolved problem in theory of integrable systems is to find conditions guaranteeing existence of a Lax representation for a given PDE. The exotic cohomology of the symmetry algebras opens a way to formulate such conditions in internal terms of the PDES under the study. In this paper we consider certain examples of infinite-dimensional Lie algebras with nontrivial second exotic cohomology groups and show that the Maurer-Cartan forms of the associated extensions of these Lie algebras generate Lax representations for integrable systems, both known and new ones. (C) 2018 Elsevier B.V. All rights reserved.
