TY - JOUR ID - zu226440 UR - http://eprints.zu.edu.ua/26440/ IS - 1 A1 - ??????????, ?. ?. Y1 - 2017/// N2 - 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 PB - ??? ??????? JF - ??????? ????? ????????? ?????????? ??? ??????? VL - 14 TI - ???????????????? ??????? ? ?????? ??????? ?????? ????????? ????????????? SP - 262 AV - public EP - 274 ER -