@inproceedings{19dc41016d0b4a36bcc39b7dd441934f,

title = "On the integration of a class of nonlinear systems of ordinary differential equations",

abstract = "For each associative, commutative, and unitary algebra over the field of real or complex numbers and an integrable nonlinear ordinary differential equation we can to construct integrable systems of ordinary differential equations and integrable systems of partial differential equations. In this paper we consider in some sense the inverse problem. Determine the conditions under which a given system of ordinary differential equations can be represented as a differential equation in some associative, commutative and unitary algebra. It is also shown that associativity is not a necessary condition.",

author = "Talyshev, {Aleksandr A.}",

year = "2017",

month = nov,

day = "14",

doi = "10.1063/1.5012679",

language = "English",

volume = "1907",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "IE Egorov and SV Popov and PN Vabishchevich and MY Antonov and NP Lazarev and MS Troeva and MS Troeva and AO Ivanova and YM Grigorev",

booktitle = "Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017",

note = "8th International Conference on Mathematical Modeling, ICMM 2017 ; Conference date: 04-07-2017 Through 08-07-2017",

}