eprintid: 26440
rev_number: 11
eprint_status: archive
userid: 3588
dir: disk0/00/02/64/40
datestamp: 2018-02-08 23:41:40
lastmod: 2018-02-08 23:41:40
status_changed: 2018-02-08 23:41:40
type: article
metadata_visibility: show
title: Гиперкомплексные функции и точные решения одного уравнения гидродинамики
language: russian
abstract: It is known that in some commutative associative algebras the exponential function is a solution of linear partial di�erential equations with constant coe�cients. In the present paper we propose a procedure allowing us to �nd all components of the exponent in a special N-dimensional commutative algebra, where N is an arbitrary �xed natural number. This allows us to construct solutions of one hydrodynamic equation of the third order
creators_name: Шпаковский, В. С.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2017
publication: Збірник праць інституту математики НАН України
volume: 14
number: 1
publisher: НАН України
pagerange: 262-274
refereed: TRUE
citation:   Шпаковский, В. С.  (2017) Гиперкомплексные функции и точные решения одного уравнения гидродинамики.  Збірник праць інституту математики НАН України, 14 (1).  с. 262-274.      
document_url: http://eprints.zu.edu.ua/26440/1/Shpakivskyi-Zb-2017%20%287%29.pdf