Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
On the integration of a class of nonlinear systems of ordinary differential equations. / Talyshev, Aleksandr A.
AIP Conference Proceedings. ed. / IE Egorov; SV Popov; PN Vabishchevich; MY Antonov; NP Lazarev; MS Troeva; MS Troeva; AO Ivanova; YM Grigorev. Vol. 1907 American Institute of Physics Inc., 2017. 030057 (AIP Conference Proceedings; Vol. 1907).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - On the integration of a class of nonlinear systems of ordinary differential equations
AU - Talyshev, Aleksandr A.
PY - 2017/11/14
Y1 - 2017/11/14
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85036582751&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/47f4d8b0-2d32-36f3-93fb-1b90e064bd9b/
U2 - 10.1063/1.5012679
DO - 10.1063/1.5012679
M3 - Conference contribution
AN - SCOPUS:85036582751
SN - 9780735415997
VL - 1907
T3 - AIP Conference Proceedings
BT - AIP Conference Proceedings
A2 - Egorov, IE
A2 - Popov, SV
A2 - Vabishchevich, PN
A2 - Antonov, MY
A2 - Lazarev, NP
A2 - Troeva, MS
A2 - Troeva, MS
A2 - Ivanova, AO
A2 - Grigorev, YM
PB - American Institute of Physics Inc.
T2 - 8th International Conference on Mathematical Modeling, ICMM 2017
Y2 - 4 July 2017 through 8 July 2017
ER -
ID: 9648182