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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2022 Volume 25, Number 1, Pages 5–13 (Mi sjim1158)

Multidimensional Hopf equation and some exact solutions

Yu. E. Anikonova, M. V. Neshchadimab, A. P. Chupakhincb

a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
c Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, Novosibirsk 630090, Russia

Abstract: Some exact solutions of the multidimensional Hopf equation are found.

Keywords: multidimensional Hopf equation, matrix Riccati equation. .

UDC: 517.9

Received: 10.09.2021
Revised: 14.09.2021
Accepted: 13.01.2022

DOI: 10.33048/SIBJIM.2021.25.101



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© Steklov Math. Inst. of RAS, 2025