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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 2, Pages 163–183
DOI: https://doi.org/10.4213/tmf528 (Mi tmf528) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Lagrangian Chains and Canonical Bäcklund Transformations

V. E. Adlera, V. G. Marikhinb, A. B. Shabatb

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (304 kB) Citations (23)
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DOI: https://doi.org/10.4213/tmf528
Abstract: We consider Darboux transformations for operators of arbitrary order and construct the general theory of Bäcklund transformations based on the Lagrangian formalism. The dressing chain for the Boussinesq equation and its reduction are demonstrative examples for the suggested general theory. We also discuss the well-known Bäcklund transformations for classical soliton equations.
Received: 06.06.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 2, Pages 1448–1465
DOI: https://doi.org/10.1023/A:1012858820688
Bibliographic databases:
Language: Russian
Citation: V. E. Adler, V. G. Marikhin, A. B. Shabat, “Lagrangian Chains and Canonical Bäcklund Transformations”, TMF, 129:2 (2001), 163–183; Theoret. and Math. Phys., 129:2 (2001), 1448–1465
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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