BLASZAK, Maciej and Artur SERGYEYEV. Dispersionless (3+1)-dimensional integrable hierarchies. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. London: Royal Society, vol. 473, No 2201, p. „20160857-1“-„20160857-16“, 16 pp. ISSN 1364-5021. doi:10.1098/rspa.2016.0857. 2017.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name Dispersionless (3+1)-dimensional integrable hierarchies
Authors BLASZAK, Maciej (616 Poland) and Artur SERGYEYEV (804 Ukraine, guarantor, belonging to the institution).
Edition Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, London, Royal Society, 2017, 1364-5021.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
WWW Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
RIV identification code RIV/47813059:19610/17:A0000004
Organization Matematický ústav v Opavě – Slezská univerzita v Opavě – Repository
Doi http://dx.doi.org/10.1098/rspa.2016.0857
UT WoS 000408472700009
Keywords (in Czech) Bezdispersni systémy; (3 + 1)-rozměrné systémy; Laxovské páry; R-matice; kontaktní závorka
Keywords in English dispersionless systems; (3+1)-dimensional integrable systems; Lax pairs; R-matrix; contact bracket
Tags MÚ
Tags International impact, Reviewed
Links GBP201/12/G028, research and development project.
Changed by Changed by: Mgr. Aleš Ryšavý, učo 1137. Changed: 4/4/2018 13:36.
Abstract
In this paper, we introduce a multi-dimensional version of the R-matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3 + 1)-dimensional dispersionless systems of the type recently introduced in Sergyeyev (2014 (http://arxiv.org/abs/1401.2122)).
Abstract (in Czech)
V tomto článku uvádíme vícerozměrnou verzi R-maticového přístupu ke konstrukci integrabilních hierarchií. Díky aplikaci této metody na případ Lieovy algebry funkcí vůči kontaktní závorce jsme zkonstruovali integrabilní hierarchie (3 + 1)-rozměrných bezdispersních systémů druhu, který byl nedávno zaveden v práci Sergyeyeva (2014) (http://arxiv.org /abs/1401.2122)).
Print
Add to clipboard Displayed: 19/4/2024 19:57