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...
Gespeichert in:
| Datum: | 2017 |
|---|---|
| Автори та афіліації: |
|
| Ключові слова: | keywords |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Інститут математики НАН України
2017
|
| Online Zugang: | https://trim.imath.kiev.ua/index.php/trim/article/view/118 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Завантажити файл: |
|
Institution
Transactions of Institute of Mathematics of NAS of Ukraine| Zusammenfassung: | 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. |
|---|