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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 184, Number 1, Pages 71–78
DOI: https://doi.org/10.4213/tmf8890 (Mi tmf8890) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Action as an invariant of Bäcklund transformations for Lagrangian systems

V. G. Marikhin

Landau Institute for Theoretical Physics, RAS, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf8890
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.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00402
Received: 09.03.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 184, Issue 1, Pages 953–960
DOI: https://doi.org/10.1007/s11232-015-0308-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Marikhin, “Action as an invariant of Bäcklund transformations for Lagrangian systems”, TMF, 184:1 (2015), 71–78; Theoret. and Math. Phys., 184:1 (2015), 953–960
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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