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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. RAN. Ser. Mat., 2023 Volume 87, Issue 5, Pages 92–98 (Mi im9356)
Symmetries and conservation laws of the Liouville equation

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: Symmetries and conservation laws of the Liouville equation are studied in the frames of the algebra-geometrical approach to partial differential equations.

Keywords: Liouville equation, symmetry, conservation law, evolution derivation, evolution Lie bracket, variational derivative, first integral.

UDC: 530.13

MSC: 35Q99, 34C14, 35A30

Received: 17.04.2022
Revised: 19.09.2022

Language: English

DOI: 10.4213/im9356


 English version: Izvestiya: Mathematics, 2023, 87:5, 941–946

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© Steklov Math. Inst. of RAS, 2026