This article is cited in 1 paper

Action as an invariant of Bäcklund transformations for Lagrangian systems

V. G. Marikhin

Landau Institute for Theoretical Physics, RAS, Moscow, Russia

Abstract: We construct a general theory of Bäcklund transformations for Lagrangian systems under the condition that the action is preserved by these transformations. We discuss the known Bäcklund transformations for classical soliton equations from the standpoint of this approach and obtain a new Bäcklund transformation for the Tzitzéica equation.

Keywords: integrable system, canonical transformation.

Received: 09.03.2015

DOI: 10.4213/tmf8890

 English version: Theoretical and Mathematical Physics, 2015, 184:1, 953–960

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