On (2+1)-dimensional hydrodynamic type systems possessing a pseudopotential with movable singularities

Autor:	Vladimir Sokolov, Alexander Odesskii
Rok vydání:	2008
Předmět:	Pseudopotential Class (set theory) Classical mechanics Integrable system Applied Mathematics Mathematical analysis Functional equation One-dimensional space Gravitational singularity Type (model theory) Analysis Mathematics
Zdroj:	Functional Analysis and Its Applications. 42:205-212
ISSN:	1573-8485 0016-2663
DOI:	10.1007/s10688-008-0029-z
Popis:	We consider a class of hydrodynamic type systems that have three independent and N ⩾ 2 dependent variables and possess a pseudopotential. It turns out that systems having a pseudopotential with movable singularities can be described by some functional equation. We find all solutions of this equation, which permits constructing interesting examples of integrable systems of hydrodynamic type for arbitrary N.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::72dcbf081f6a843d526bc7fdae2a2d6f https://doi.org/10.1007/s10688-008-0029-z Zobrazit plný text záznamu Full text from SpringerLink