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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 4, Pages 596–613 (Mi zvmmf11537)

Partial Differential Equations

Results of symmetry classification of 2-field third-order evolutionary systems with a constant separant

M. Yu. Balakhnev

Orel State University, 302026, Orel, Russia

Abstract: The paper presents the results of the symmetry classification of nonlinear integrable 2-field evolutionary systems of the third order with a constant separant.

Key words: integrable systems, canonical densities, conservation laws.

Received: 01.09.2022
Revised: 29.11.2022
Accepted: 15.12.2022

DOI: 10.31857/S004446692304004X


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:4, 564–581

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© Steklov Math. Inst. of RAS, 2026