This article is cited in 3 papers

3D consistency of negative flows

V. E. Adler

Landau Institute for Theoretical Physics, Chernogolovka, Moscow region, Russia

Abstract: We study the $3$D-consistency property for negative symmetries of KdV-type equations. Its connection with the $3$D consistency of discrete equations is explained.

Keywords: recursion operator, negative flow, 3D-consistency, Bäcklund transformation.

PACS: 02.30.Ik, 02.30.Jr

MSC: 35Q53, 37K10, 37K35

Received: 13.07.2024
Revised: 13.07.2024

DOI: 10.4213/tmf10791

 English version: Theoretical and Mathematical Physics, 2024, 221:2, 1836–1851

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