Szczegóły publikacji
Opis bibliograficzny
Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations / Aleksandra LELITO, Oleg I. MOROZOV // Journal of Geometry and Physics ; ISSN 0393-0440. — 2018 — vol. 131, s. 89–100. — Bibliogr. s. 100, Abstr. — Publikacja dostępna online od: 2018-05-25
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 115942 |
|---|---|
| Data dodania do BaDAP | 2018-09-10 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.geomphys.2018.05.004 |
| Rok publikacji | 2018 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Geometry and Physics |
Abstract
We found two three-component nonlocal conservation laws for the 3D rdDym equation, the universal hierarchy equation, the modified Veronese web equation, and the Veronese web equation. The aforementioned equations together with Pavlov's equation are related via Backlund transformations. We study correspondences between the nonlocal conservation laws yielded by the Backlund transformations. In particular, we prove that the nonlocal conservation laws that depend on one pseudopotential are generated from a local conservation law of the Veronese web equation via appropriate superpositions of the Backlund transformations. Also, we prove nontriviahty of the conservation laws found in the paper as well as the ones found in Makndin and Pavlov (2017) for the Khokhlov-Zabolotskaya equation and Pavlov's equation. (C) 2018 Elsevier B.V. All rights reserved.
