Гиперкомплексные функции и точные решения одного уравнения гидродинамики
It is known that in some commutative associative algebras the exponential function is a solution of linear partial differential equations with constant coefficients. In the present paper we propose a procedure allowing us to find all components of the exponent in a special N-dimensional commutative...
Saved in:
| Date: | 2017 |
|---|---|
| Author Affiliations: |
|
| Keywords: | keywords |
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Інститут математики НАН України
2017
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/118 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |
|
Institution
Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | It is known that in some commutative associative algebras the exponential function is a solution of linear partial differential equations with constant coefficients. In the present paper we propose a procedure allowing us to find all components of the exponent in a special N-dimensional commutative algebra, where N is an arbitrary fixed natural number. This allows us to construct solutions of one hydrodynamic equation of the third order. |
|---|