Шпаковский, В. С.
(2017)
Гиперкомплексные функции и точные решения одного уравнения гидродинамики.
Збірник праць інституту математики НАН України, 14 (1).
pp. 262-274.
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
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